on some product type operators from hardy orlicz and bergman orlicz spaces to weighted type spaces abstract the boundedness and compactness of weighted composition operators and a class of integral type operators recently introduced by s stevic from hardy orlicz and weighted bergman orlicz spaces to a class of weighted type spaces on the unit ball of c n are characterized

fast frequency sweep of fem models via the balanced truncation proper orthogonal decomposition a fast frequency sweep method for wideband antennas and infinite arrays based on a singular value decomposition svd krylov model reduction method for frequency domain tangential vector finite elements tvfems is presented reduced models are constructed using balanced congruence transformations constructed from the dominant invariant subspace of the system s hankel matrix traditionally forming such matrix requires the intensive computation of gramians the proposed method only forms their low rank cholesky factors via a novel adaptive proper orthogonal decomposition pod sampling strategy leading to significant savings unlike some other model reduction methods balanced truncation pod bt pod is directly applicable to lossy and dispersive electromagnetic models numerical studies on large scale wideband antennas and infinite arrays show that the method is stable error controllable and without memory overheads capable of up to two orders of magnitude speed ups

generalized hilbert operator on the dirichlet type space abstract the boundedness of the generalized hilbert operator on the dirichlet type space s p when 0 p 1 is investigated

on an integral type operator from the bloch space to mixed norm spaces let be a holomorphic self map of b and g h b such that g 0 0 where h b is the space of all holomorphic functions on the unit ball b of c n in this paper we investigate the following integral type operator d g f z 0 1 d f t z g t z d t t f h b where d f is the fractional derivative of f h b the boundedness and compactness of the operators d g between mixed norm spaces and bloch spaces in the unit ball are studied

weighted composition operators from the logarithmic weighted type space to the weighted bergman space in cn let w be a bounded circular strictly convex domain in c n with c 2 boundary and h w the space of all analytic functions on w let u h w and f be a holomorphic self map of w the weighted composition operator uc f on h w is defined by uc f f z u z f f z where f h w and z w let h l o g c b w b 0 c r be the logarithmic weighted type space on w and a a p w p 0 a 1 the weighted bergman space on w here we characterize the boundedness and compactness of the weighted composition operator uc f h l o g c b w a a p w

the generalized libera transform is bounded on the besov mixed norm bmoa and vmoa spaces on the unit disc the main results of this note prove that the generalized libera operator is bounded on the besov mixed norm space b a p q d as well as on the spaces bmoa and vmoa on the unit disk the compactness of the operator on b a p q d is also studied

extended cesaro operators on bergman spaces we define an extended cesaro operator tg with holomorphic symbol g in the unit ball b of cn for a large class of weights w we characterize those g for which tg is bounded or compact from bergman space lpa w b to lqa w b 0 p q in addition we obtain some results about equivalent norms the norm of point evaluation functionals and the interpolation sequences on lpa w b

on the spatial bandwidth of scattered fields it is shown that the scattered fields are almost space bandlimited functions the effective bandwidth w is introduced and evaluated for a very general scattering system as well as the error made using functions bandlimited to w w for representing the scattered field the effective bandwidth is very simply related to the maximum dimension of the scattering system the error drops to negligible values for modest increases of w compared to w in the case of large scatterers important consequences of the above general results are finally stressed

on the interpolation of electromagnetic near field without prior knowledge of the radiating source a method is proposed to interpolate the electromagnetic near field when no information on the radiating source is available in the absence of a priori knowledge general properties of the electromagnetic field are exploited to estimate the field namely the minimum complexity of the field and the continuity of the first derivatives these properties are enforced by minimizing the nuclear norm and using the thin plate spline interpolation results respectively the proposed procedure is validated experimentally by interpolating the planar electrical near field radiated by three antennas the quality of the interpolation and its robustness to noise are investigated despite its simplicity the interpolation method is able to properly estimate the near field from a random coarse sampling of 2 lambda the quality of the near field interpolation is also confirmed by deriving the far field these promising results pave the way for the development of fast antenna measurement procedures

bloch type functions with hadamard gaps abstract we give a sufficient and a necessary condition for an analytic function f on the unit disc d with hadamard gaps that is for f z k 1 a k z n k where n k 1 n k 1 for all k n to belong to the bloch type space b d f sup z d z f z f h d as well as to the corresponding little bloch type space under some conditions posed on the weight function the main results are applied to a bloch type space of interest

on an integral type operator from logarithmic bloch type and mixed norm spaces to bloch type spaces abstract this paper studies the boundedness and compactness of the following integral type operator recently introduced by this author p g f z 0 1 f t z g t z d t t z b where is a holomorphic self map of the unit ball b in c n and g is a holomorphic function on b such that g 0 0 from logarithmic bloch type and mixed norm spaces to bloch type spaces

representation of electromagnetic fields over arbitrary surfaces by a finite and nonredundant number of samples it is shown that the electromagnetic em field radiated or scattered by bounded sources can be accurately represented over a substantially arbitrary surface by a finite number of samples even when the observation domain is unbounded the number of required samples is nonredundant and essentially coincident with the number of degrees of freedom of the field this result relies on the extraction of a proper phase factor from the field expression and on the use of appropriate coordinates to parameterize the domain it is demonstrated that the number of degrees of freedom is independent of the observation domain and depends only on the source geometry the case of spheroidal sources and observation domains with rotational symmetry is analyzed in detail and the particular cases of spherical and planar sources are explicitly considered for these geometries precise and fast sampling algorithms of central type are presented which allow an efficient recovery of em fields from a nonredundant finite number of samples such algorithms are stable with respect to random errors affecting the data

iterated differentiation followed by composition from bloch type spaces to weighted bmoa spaces abstract let be a holomorphic self map of the open unit disk d and h d the class of holomorphic functions on d for n n 0 define an operator by c d n f f n f h d we characterize the boundedness and compactness of operator c d n from bloch type spaces to weighted bmoa spaces

on an integral type operator from ω bloch spaces to µ zygmund spaces let h b denote the space of all holomorphic functions on the unit ball b c n we study the boundedness and compactness of the following integral type operatorp g f z 0 1f tz g tz dtt f h b z b where g h b and g 0 0 from w bloch spaces to m zygmund spaces

the degrees of freedom of wireless networksvia cut set integrals the problem of determining the number of spatial degrees of freedom d o f of the signals carrying information in a wireless network is reduced to the computation of the geometric variation of the environment with respect to the cut through which the information must flow physically this has an appealing interpretation in terms of the diversity induced on the cut by the possible richness of the scattering environment mathematically this variation is expressed as an integral along the cut which we call cut set integral and whose scaling order is evaluated exactly in the case of planar networks embedded in arbitrary three dimensional 3 d environments presented results shed some new light on the problem of computing the capacity of wireless networks showing a fundamental limitation imposed by the size of the cut through which the information must flow in an attempt to remove what may appear as apparent inconsistencies with previous literature we also discuss how our upper bounds relate to corresponding lower bounds obtained using the techniques of multihop hierarchical cooperation and interference alignment

on a product type operator from bloch spaces to weighted type spaces on the unit ball we characterize the boundedness and compactness of a product of radial derivative composition and multiplication operators from bloch spaces to weighted type spaces on the unit ball

on a product type operator from weighted bergman orlicz space to some weighted type spaces let d z c z 1 be the open unit disk an analytic self map of d and an analytic function on d let d be the differentiation operator and w the weighted composition operator the boundedness and compactness of the product type operator dw from the weighted bergman orlicz space to the bers type space weighted bloch space and weighted zygmund space on d are characterized

on an integral type operator between weighted type spaces and bloch type spaces on the unit ball abstract the boundedness and compactness of an integral type operator which has been recently introduced by the first author between weighted type spaces and bloch type spaces on the unit ball are studied here

iconic indexing by 2 d strings in this paper we describe a new way of representing a symbolic picture by a two dimensional string a picture query can also be specified as a 2 d string the problem of pictorial information retrieval then becomes a problem of 2 d subsequence matching we present algorithms for encoding a symbolic picture into its 2 d string representation reconstructing a picture from its 2 d string representation and matching a 2 d string with another 2 d string we also prove the necessary and sufficient conditions to characterize ambiguous pictures for reduced 2 d strings as well as normal 2 d strings this approach thus allows an efficient and natural way to construct iconic indexes for pictures

on operator p g φ from the logarithmic bloch type space to the mixed norm space on the unit ball the boundedness and compactness of the following recently introduced by this author integral type operatorp f gf z email protected 0 1f f tz g tz dtt email protected b where f is a holomorphic self map of the unit ball b in c n and g is a holomorphic function on b such that g 0 0 from logarithmic bloch type spaces to mixed norm spaces on b are studied in this paper

generalized product type operators from weighted bergman orlicz spaces to bloch orlicz spaces let d be the open unit disk in the complex plane an analytic self map of d and an analytic function on d let dn be the nth differentiation operator and w the weighted composition operator in this paper the boundedness and compactness of the generalized product type operators dnw and w dn from weighted bergman orlicz spaces to bloch orlicz spaces are characterized

essential norm of products of multiplication composition and differentiation operators on weighted bergman spaces abstract let be a holomorphic function on the open unit disk d and a holomorphic self map of d let c m and d denote the composition multiplication and differentiation operator respectively we find an asymptotic expression for the essential norm of products of these operators on weighted bergman spaces on the unit disk this paper is a continuation of our recent paper concerning the boundedness of these operators on weighted bergman spaces

perfect hash table algorithm for image databases using negative associated values abstract a 2d string data structure allows for efficient spatial reasoning on an image database for query and retrieval a 2d string can be converted to a set of triples leading to an elegant o 1 solution for image retrieval with simple queries using a perfect hash table for complex queries the retrieval complexity is linear in this approach and depends on the number of possible pairings of picture objects in the query the perfect hash table computation for this problem is mapped directly to a permutation problem in an earlier paper s k bhatia and c l sabharwal pattern recognition 27 365 376 1974 we presented a set of heuristics that result in a fast computation of associated values for picture objects used in the calculation of hash addresses in this paper we present an additional heuristic leading to a 90 reduction in search space over our earlier algorithm the new heuristic promises to generate a minimal perfect hash function for each experimental data set which was not possible with the earlier algorithms mathematical analysis of complexity of the algorithms is presented and is supported by experimental results

extended cesaro operators between bloch type spaces in the unit ball of cn abstract in this paper we characterize those holomorphic symbols in the unit ball of c n for which the induced extended cesaro operator t b b respectively b 0 b 0 is bounded or compact where and are normal functions on 0 1 in addition we obtain some properties of those spaces b and b 0

minimum trace norm regularization mtnr in electromagnetic inverse problems this paper discusses a method to regularize linear problems in presence of incomplete and noisy data generated by partially or totally unknown sources the idea is to identify the simplest solution looking for the system having the minimum number of degrees of freedom ndf compatible with the available data it is shown that a normalized version of the trace norm known as 1 schatten norm in functional analysis is a good convex approximation of the ndf of the field this allows to use the trace norm as a convex surrogate of the ndf in the minimization process taking advantage of the recent literature on rank minimization examples regarding mimo beamforming from incomplete channel matrix field interpolation with no a priori information on the sources and land mine identification using the total field are discussed

compact composition operators on the bloch space necessary and sufficient conditions are given for a composition operator cof f o q to be compact on the bloch space w and on the little bloch space o weakly compact composition operators on o are shown to be compact if q e o is a conformal mapping of the unit disk d into itself whose image q d approaches the unit circle t only in a finite number of nontangential cusps then co is compact on 7o on the other hand if there is a point of t n q d at which q d does not have a cusp then co is not compact

products of volterra type operator and composition operator from h and bloch spaces to zygmund spaces the boundedness and compactness of the products of volterra type operators and composition operators from the space of bounded analytic functions and the bloch space to the zygmund space are discussed in this paper

integral type operators from iterated logarithmic bloch spaces to zygmund type spaces let h b denote the space of all holomorphic functions on the unit ball b of c n and rh z j 1 nz j h z j z the radial derivative of h in this paper we study the boundedness and compactness of the following integral operator t g f z 0 1f tz rg tz dtt f h b z b from iterated logarithmic bloch spaces to zygmund type spaces

compact differences of weighted composition operators from weighted bergman spaces to weighted type spaces abstract we characterize the compactness of differences of weighted composition operators from the weighted bergman space a p 0 1 to the weighted type space h v of analytic functions on the open unit disk d in terms of inducing symbols 1 2 d d and u 1 u 2 d c for the case 1

on the role of the number of degrees of freedom of the field in mimo channels the aim of this paper is to investigate the relationship between the effective number of degrees of freedom endf of a multiple input multiple output mimo channel and the number of degrees of freedom ndf of the field in particular the ndf of the field represents an upperbound for the endf of a mimo channel consequently the evaluation of the maximum endf can be carried out by adopting the literature on the ndf based on the spatial bandlimitation properties of the field this approach allows a simple and intuitive explanation of the maximum endf in a mimo channel based on a geometrical interpretation of the spatial channel in terms of spatial nyquist intervals

generalized composition operators on zygmund spaces and bloch type spaces the boundedness and compactness of the generalized composition operator on zygmund spaces and bloch type spaces are investigated in this paper

products of composition and differentiation operators from zygmund spaces to bloch spaces and bers spaces abstract the boundedness and compactness of the products of differentiation and composition operators from zygmund spaces to bloch spaces and bers spaces are discussed in this paper

on an integral type operator from logarithmic bloch type spaces to mixed norm spaces on the unit ball let h b denote the space of all holomorphic functions on the open unit ball b of c n and email protected h b we characterize the boundedness and compactness of the following integral type operator l gf z email protected 0 1rf tz g tz dtt email protected b where rf is the radial derivative of function f from logarithmic bloch type spaces to mixed norm spaces on the unit ball

on an integral type operator from iterated logarithmic bloch spaces into bloch type spaces let h b denote the space of all holomorphic functions on the open unit ball b of c n let f f 1 f n be a holomorphic self map of b and email protected h b such that g 0 0 in this paper we study the boundedness and compactness of the following integral type operator recently introduced by xiangling zhu and the second authori f gf z email protected 0 1rf f tz g tz dtt email protected b from the iterated logarithmic bloch spaces into the bloch type spaces for the case when f z z we also obtain a sufficient and necessary condition for the boundedness of this operator from the iterated logarithmic bloch space into the little bloch type space

generalized weighted composition operators from zygmund spaces to bloch orlicz type spaces let d be the open unit disk in the complex plane c and h d the class of all analytic functions on d let be an analytic self map of d and h d in this paper the boundedness and compactness of the generalized weighted composition operator d n f f n from the zygmund space to the bloch orlicz space and the little bloch orlicz space are characterized

signal recovery with cost constrained measurements we are concerned with the problem of optimally measuring an accessible signal under a total cost constraint in order to estimate a signal which is not directly accessible an important aspect of our formulation is the inclusion of a measurement device model where each device has a cost depending on the number of amplitude levels that the device can reliably distinguish we also assume that there is a cost budget so that it is not possible to make a high amplitude resolution measurement at every point we investigate the optimal allocation of cost budget to the measurement devices so as to minimize estimation error this problem differs from standard estimation problems in that we are allowed to design the number and noise levels of the measurement devices subject to the cost constraint our main results are presented in the form of tradeoff curves between the estimation error and the cost budget although our primary motivation and numerical examples come from wave propagation problems our formulation is also valid for other measurement problems with similar budget limitations where the observed variables are related to the unknown variables through a linear relation we discuss the effects of signal to noise ratio distance of propagation and the degree of coherence correlation of the waves on these tradeoffs and the optimum cost allocation our conclusions not only yield practical strategies for designing optimal measurement systems under cost constraints but also provide insights into measurement aspects of certain inverse problems

optimal time domain field interpolation from plane polar samples new time domain sampling series for representing radiated fields on a plane in terms of plane polar samples are presented the representations make it possible for the advanced sampling field interpolations introduced in the frequency domain to be generalized to the time domain thus enabling minimum redundance when using either a cardinal sampling scheme or a central interpolation one numerical analysis is then conducted to prove the effectiveness of the new representations

electromagnetic degrees of freedom in 2 d scattering environments the electromagnetic em degrees of freedom dof of a noise limited system in two dimensions with random multiple scattering is evaluated numerically following a rigorous dof theory first developed by miller and piestun for optical systems the received em fields are efficiently calculated by fast multipole method fmm and the ensemble average of the dof number is obtained through monte carlo simulation technique the results show that the average em dof number is strongly dependent on the sizes of the transmit volume the receive volume and the scattering region in particular the average number of dof generally increases with both the transmit and receive volumes however this increase is a non linear process and will not continue indefinitely as the transmit volume or the receive volume expands an upper bound of the average dof number is expected due to noise effects due to the lack of criteria for choosing a critical parameter involved in miller and piestun s original dof definition a modified definition is also considered even though the modified definition is snr dependent it provides a clearer physical meaning of the dof in addition the simulations also suggest that it might not be appropriate to ignore the influence of the snr on the dof number when the system concerned is of general form and relative small where no critical point of the channel quality can be identified a logarithmic dependence of the dof number on the total source power is demonstrated for such systems

generalized bloch spaces integral means of hyperbolic harmonic mappings in the unit ball abstract in this paper we investigate the properties of hyperbolic harmonic mappings in the unit ball b n in r n n 2 firstly we establish necessary and sufficient conditions for a hyperbolic harmonic mapping to be in the bloch space b b n and the generalized bloch space l b a 0 b n respectively secondly we discuss the relationship between the integral means of hyperbolic harmonic mappings and that of their gradients the obtained results are the generalizations of hardy and littlewood s related ones in the setting of hyperbolic harmonic mappings finally we characterize the weak uniform boundedness property of hyperbolic harmonic mappings in terms of the quasihyperbolic metric

on new bloch type spaces we introduce a new bloch type space so called the logarithmic bloch type space b l o g b a d on the unit disc d as the space of all holomorphic functions f on d such thatsupz d 1 z alne b a1 z b f z 0 and b 0 and present some basic properties of the space a necessary and a sufficient condition for a function with hadamard gaps to belong to the logarithmic bloch type space are given as well as some applications of these results to a composition operator

on the degrees of freedom of scattered fields starting from the observation that fields differing less than a prescribed error cannot be resolved as distinct entities the degrees of freedom of the scattered field are introduced and then computed the degrees of freedom are shown to be practically equal to the nyquist number appropriate to the effective spatial bandwidth of the scattered field and to the extension of the observation domain accordingly a finite number of elements of information can be used to determine the scattered field to a prescribed approximation error it is also shown that the field representation can be made in terms of field values and simple sampling functions provided that a marginal increase in the approximation error is tolerated the results not only completely justify the use of sampling interpolation for representing scattering fields but also demonstrate that such representation is practically an optimal one an algorithm for the reconstruction of scattered fields given the maximum allowed error is then produced

retrieval of similar pictures on pictorial databases abstract in this paper we suggest a method of retrieving iconic pictures in a pictorial database based upon the spatial relationship among the objects in the picture this special kind of database query problem is generally known as a spatial match retrieval problem we transform each picture or query into a set of ordered triples o i o j r ij s where o i and o j are two symbolic objects and r ij is the spatial relationship between o i and o j then we construct a hashing table for all o i o j r ij s of all the pictures in the pictorial database by searching the preconstructed hashing table for all of the o i o j r ij s associated with a query the pictures satisfying that query can be easily determined

a new method for avoiding the truncation error in near field antennas measurements a new method to avoid the truncation error in antenna near field measurements is presented the approach relies on the concept of information content of the field according to this point of view the truncation problem is solved by picking up the information that is lost due to the finite size of scanning area in points of the space reachable by the measurement system the method can be applied to any scanning geometry including the planar and cylindrical ones whenever the set up allows to vary the distance between the antenna under test and the probe during the scanning procedure application of the method to cylindrical near field scanning is numerically investigated assessing the effectiveness of the proposed technique

weighted differentiation composition operators from mixed norm spaces to weighted type spaces motivated by the recent paper x zhu products of differentiation composition and multiplication from bergman type spaces to bers spaces integral transform spec funct 18 3 2007 223 231 we study the boundedness and compactness of the weighted differentiation composition operator d f u n f z u z f n f z where u is a holomorphic function on the unit disk d f is a holomorphic self map of d and email protected n 0 from the mixed norm space h p q f where p q 0 and f is normal to the weighted type space h m or the little weighted type space h m 0 for the case of the weighted bergman space a a p p 1 some bounds for the essential norm of the operator are also given

on electromagnetics and information theory some connections are described between electromagnetic theory and information theory identifying some unavoidable limitations imposed by the laws of electromagnetism to communication systems starting from this result the role of the degrees of freedom of the field in radiating systems is investigated different classes of antennas use the available degrees of freedom in different ways in particular a multiple input multiple output antenna is a radiating system conveying statistically independent information on more than one degree of freedom of the field applications of the theory to antenna synthesis and antenna characterization in complex environments are shown

integral type operators acting between weighted type spaces on the unit ball let b denote the unit ball in c n and h b the space of all holomorphic functions on b we study the boundedness and compactness of the following integral type operatorsi f gf z email protected 0 1rf f tz g tz dtt email protected b where email protected h b g 0 0 f is a holomorphic self map of b and rf is the radial derivative of f between weighted type spaces on the unit ball

degrees of freedom in multiple antenna channels a signal space approach multiple antenna systems that are limited by the area and geometry of antenna arrays are considered given these physical constraints the limit on the available number of spatial degrees of freedom is derived the commonly used statistical multiple input multiple output mimo model is inadequate antenna theory is applied to take into account the area and geometry constraints and to define the spatial signal space so as to interpret experimental channel measurements in an array independent but manageable description of the physical environment based on these modeling strategies for a spherical array of effective aperture a in a physical environment of angular spread spl omega in solid angle the number of spatial degrees of freedom is shown to be a spl omega for uni polarized antennas and 2a spl omega for tri polarized antennas together with the 2wt degrees of freedom for a system of bandwidth w transmitting in an interval t the total degrees of freedom of a multiple antenna channel is therefore 4wta spl omega

a fast implementation of a perfect hash function for picture objects abstract in image database systems symbolic pictures are represented by two dimensional 2d strings that are converted into triples each triple is mapped to a unique hash address for timely retrieval of pictures reducing the pattern matching problem corresponding to a query to that of computation of a hash function the values associated with the picture objects are used to compute hash addresses for triples developed from the query heuristics are proposed to speed up the computation of the associated values for the picture objects experimental results show that the new algorithm achieves almost a 90 gain in search space over existing algorithms to compute the associated values

similarity retrieval of iconic image database abstract the perception of spatial relationships among objects in a picture is one of the important selection criteria to discriminate and retrieve the images in an iconic image database system the data structure called 2d string proposed by chang et al is adopted to represent symbolic pictures the 2d string preserves the objects spatial knowledge embedded in images since spatial relationship is a fuzzy concept the capability of similarity retrieval for the retrieval by subpicture is essential in this paper similarity measure based on 2d string longest common subsequence is defined the algorithm for similarity retrieval is also proposed similarity retrieval provides the iconic image database with the distinguishing function different from a conventional database

on some integral type operators between a general space and bloch type spaces abstract the boundedness and compactness of the next integral operators p g f z 0 1 f tz g tz dt t and l g f z 0 1 r f tz g tz dt t between f p q s spaces and bloch type spaces on the unit ball of c n are studied among other results we solve some open problems and considerably extend results in the paper li and stevic compactness of riemann stieltjes operators between f p q s and bloch spaces publ math debrecen 72 1 2 2008 111 128

on an integral type operator between bloch type spaces let h b denote the space of all holomorphic functions on the unit ball b of c n let f be a holomorphic self map of b and email protected h b such that g 0 0 we study the boundedness and compactness of the following integral type operator recently introduced by stevicp f g f z email protected 0 1f f tz g tz dtt email protected b between bloch type spaces our main results are natural extensions of some results in the following paper s stevic on a new integral type operator from the bloch space to bloch type spaces on the unit ball j math anal appl 354 2009 426 434

on the iterated logarithmic bloch space on the unit ball abstract we introduce a new space of analytic functions on the unit ball the so called iterated logarithmic bloch space b log k and study some of its properties among other features we study the boundedness and compactness of weighted composition operators on the unit disk as well as of a recently introduced integral type operator on the unit ball with i domain the iterated logarithmic bloch space b log k or the little iterated logarithmic bloch space b log k 0 and ii range the bloch type space b or the little bloch type space b 0 or the weighted space h or the little weighted space h 0

on a new operator from the logarithmic bloch space to the bloch type space on the unit ball abstract we study the boundedness and compactness of a recently introduced operator denoted by p g which is a kind of the product of composition and integral operators on the unit ball b c n from the logarithmic bloch space b log and the little logarithmic bloch space b log 0 to the bloch type space b or the little bloch type space b 0

geometry based image retrieval in binary image databases in this paper a geometry based image retrieval system is developed for multiobject images we model both shape and topology of image objects using a structured representation called curvature tree ct the hierarchy of the ct reflects the inclusion relationships between the image objects to facilitate shape based matching triangle area representation tar of each object is stored at the corresponding node in the ct the similarity between two multiobject images is measured based on the maximum similarity subtree isomorphism mssi between their cts for this purpose we adopt a recursive algorithm to solve the mssi problem and a very effective dynamic programming algorithm to measure the similarity between the attributed nodes our matching scheme agrees with many recent findings in psychology about the human perception of multiobject images experiments on a database of 13 500 real and synthesized medical images and the mpeg 7 ce 1 database of 1 400 shape images have shown the effectiveness of the proposed method

weighted composition operators between weighted bergman spaces and hardy spaces on the unit ball of cn abstract in this paper we study the weighted composition operators w f f between weighted bergman spaces and hardy spaces on the unit ball of c n we characterize the boundedness and the compactness of the weighted composition operators w a p a q 0 q p 1 and w h p b h q b 0 q p

characterization of mimo antennas using spherical vector waves spherical vector waves are used to analyze multiple input multiple output mimo antennas an expansion of the far field pattern in spherical vector waves gives the correlation matrix and correlation loss of the mimo antenna in uniform multipath channels numerical examples of a mimo tetrahedron and a mimo cube are presented

products of composition multiplication and radial derivative operators from logarithmic bloch spaces to weighted type spaces on the unit ball abstract let h b denote the space of all holomorphic functions on the unit ball b of c n h b and be a holomorphic self map of b let c m and r denote the composition multiplication and radial derivative operators respectively in this paper we characterize the boundedness and compactness of linear operators induced by products of these operators from logarithmic bloch spaces to weighted type spaces on the unit ball

products of multiplication composition and differentiation operators on weighted bergman spaces abstract let be a holomorphic function on the open unit disk d and a holomorphic self map of d let c m and d denote the composition multiplication and differentiation operator respectively we consider linear operators induced by products of these operators on weighted bergman spaces on d the boundedness is established by using carleson type measures