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

a rank one reduction formula and its applications to matrix factorizations let a in r m times n denote an arbitrary matrix if x in r n and y in r m are vectors such that omega y t ax ne 0 then the matrix b a omega 1 axy t a a has rank exactly one less than the rank of a this wedderburn rank one reduction formula is easy to prove yet the idea is so powerful that perhaps all matrix factorizations can be derived from it the formula also appears in places such as the positive definite secant updates bfgs and dfp as well as the abs methods by repeatedly applying the formula to reduce ranks a biconjugation process analogous to the gram schmidt process with oblique projections can be developed this process provides a mechanism for constructing factorizations such as text ldm t qr and svd under a common framework of a general biconjugate decomposition v t au omega that is diagonal and nonsingular two characterizations of biconjugation provide new insight into the lanczos method and its breakdown one characterization shows that

perturbation bounds for triangular and full rank factorizations we give componentwise bounds for the perturbations of the lu and ldu factorizations these bounds are valid for all perturbations which keeps nonsingularity and lu factorizability it is shown that the new perturbation bounds are sharper than the earlier results the perturbation bounds are then applied to full rank factorizations produced by the rank reduction procedure the result indicates that these full rank factorizations are stable if the ldu factorization of a certain matrix is also stable

a chebyshev approximation for solving nonlinear integral equations of hammerstein type abstract a numerical method for solving fredholm volterra hammerstein integral equations is presented this method is based on replacement of the unknown function by truncated series of well known chebyshev expansion of functions the quadrature formula which we use to calculate integral terms can be estimated by fast fourier transform fft the numerical examples and the number of operations show the advantages of this method to some other usual methods

composition operators from f p q s spaces to the nth weighted type spaces on the unit disc abstract in this note we characterize the boundedness and compactness of the composition operator from the general function space f p q s to the nth weighted type space on the unit disk where the nth weighted type space has been recently introduced by stevo stevic

mixed and componentwise condition numbers for matrix decompositions abstract we present normwise and componentwise perturbation bounds for the lu the cholesky the l d l t and the qr decompositions by using a new approach the explicit expressions of mixed and componentwise condition numbers for these matrix decompositions are derived the condition numbers improve known results of the normwise and componentwise cases and reveal the characterizations of the structured perturbations the exact explicit perturbation expressions are derived for the factors l and u of the lu decomposition and the rigorous normwise and componentwise perturbation bounds are presented for the lu decomposition

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

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

the coiflet galerkin method for linear volterra integral equations this paper deals with the application of the wavelet galerkin method based on coiflets as a basis for solving linear volterra integral equations vies the main contribution of this work is that some new connection coefficients are introduced and a suitable algorithm is developed for their solution once they have been computed they can be stored and applied to any linear vie the convergence properties of the coiflet galerkin method are analyzed some test examples are presented to illustrate the performance of the method with respect to the error norms and cpu time

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

composition operators from the space of cauchy transforms to bloch and the little bloch type spaces on the unit disk abstract we completely characterize the boundedness and compactness of composition operators from the space of cauchy transforms on the unit disk d into the bloch type space b as well as the little bloch type space b 0 consisting respectively of all holomorphic functions f on d such that sup z d z f z that is of all holomorphic functions f on d such that lim z 1 z f z 0 for some weight function as a byproduct of our results norm of the operator is calculated when b is replaced by b c

application of taylor series in obtaining the orthogonal operational matrix in this research first we explicitly obtain the relation between the coefficients of the taylor series and jacobi polynomial expansions then we present a new method for computing classical operational matrices derivative integral and product for general jacobi orthogonal functions polynomial and rational this method can be used for many classes of orthogonal functions

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

efficient algorithms to solve singular integral equations of abel type in the present paper we obtain the approximate solution of abel s integral equation by using the following powerful efficient but simple methods i he s homotopy perturbation method hpm ii modified homotopy perturbation method mhpm iii adomian decomposition method adm and iv modified adomian decomposition method madm the validity and applicability of these techniques are illustrated through various particular cases which demonstrate their efficiency and simplicity in solving these types of integral equations compared with the other existing methods

composition operators from the hardy space to the nth weighted type space on the unit disk and the half plane the boundedness of the composition operator c ff z f f z from the hardy space h p x p 0 where x is the upper half plane p z c imz 0 or the unit disk d z c z 1 in the complex plane c to the nth weighted type space where f is an analytic self map of x is characterized

weighted composition operators from the besov spaces into the weighted type space hμ abstract let denote a positive continuous function on the open unit disk d in this work we characterize the bounded weighted composition operators from the analytic besov spaces b p 1 p into the weighted type space h consisting of the analytic functions on d such that sup z d z f z and determine their operator norms we also determine the essential norm of the bounded weighted composition operators acting on the dirichlet space and obtain explicit estimates when p 1 in the general case when the operator maps b p into h we derive an approximation of the essential norm that yields a characterization of the compact weighted composition operators finally we derive characterizations of the bounded and the compact weighted composition operators from the spaces of antiderivatives of functions in b p and b m o a into the bloch spaces

numerical solution of fractional pantograph differential equations by using generalized fractional order bernoulli wavelet in the current study new functions called generalized fractional order bernoulli wavelet functions gfbwfs based on the bernoulli wavelets are defined to obtain the numerical solution of fractional order pantograph differential equations in a large interval for the concept of fractional derivative we will use caputo sense by using riemann liouville fractional integral operator first the generalized fractional order bernoulli wavelets are constructed then these functions and their properties are employed to derive the gfbwfs operational matrices of fractional integration and pantograph the operational matrices of integral and pantograph are utilized to reduce the problem to a set of algebraic equations finally some examples are included for demonstrating the validity and applicability of our method

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

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

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

rounding error and perturbation bounds for the cholesky and ldl t factorizations abstract componentwise rounding error and perturbation bounds for the cholesky and ldl t factorizations are derived the precision of the computed cholesky and ldl t factorizations is given

products of integral type operators and composition operators between bloch type spaces a complete picture on the boundedness and compactness of the products of integral type operators and composition operators between bloch type spaces of holomorphic functions on the unit disk is given 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

generalized weighted composition operators from the f p q s space to the bloch type space abstract let h d denote the space of all analytic functions on the open unit disk d of c let be an analytic self map of d and u h d in this paper the boundedness and compactness of the generalized weighted composition operator d u n f uf n from the f p q s space to the bloch type space and the little bloch type space are characterized

integral type operators from bloch type spaces to zygmund type spaces let h b denote the space of all holomorphic functions on the unit ball email protected c n this paper investigates the following integral type operator with symbol email protected h b t g f z email protected 0 1f tz rg tz dtt email protected h b email protected b where rg z email protected j 1 nz email protected email protected z j z is the radial derivative of g the boundedness and compactness of the operator t g from bloch type spaces to zygmund type spaces are studied

weighted composition operators from area nevanlinna spaces into bloch spaces let h d denote the class of all analytic functions on the open unit disk d of c let f be an analytic self map of d and u h d the weighted composition operator is defined by uc ff z u z f f z f h d the boundedness and compactness of weighted composition operators from area nevanlinna spaces into bloch spaces and little bloch spaces are characterized in this paper

fourier series direct method for variational problems a direct method for solving variational problems using fourier series is presented an operational matrix of integration is first introduced and is utilized to reduce a variational problem to the solution of algebraic equations illustrative examples are also given

weighted differentiation composition operators from h and bloch spaces to nth weighted type spaces on the unit disk we characterize the boundedness and compactness of weighted differentiation composition operators from the space of bounded analytic functions the bloch space and the little bloch space to nth weighted type spaces on the unit disk

essential norm of generalized weighted composition operators on bloch type spaces in this paper we give some estimates of the essential norm for generalized weighted composition operators on bloch type spaces moreover we give a new characterization for the boundedness and compactness of the generalized weighted composition operator on bloch type spaces

a wavelet based computational method for solving stochastic ito volterra integral equations this paper presents a computational method based on the chebyshev wavelets for solving stochastic ito volterra integral equations first a stochastic operational matrix for the chebyshev wavelets is presented and a general procedure for forming this matrix is given then the chebyshev wavelets basis along with this stochastic operational matrix are applied for solving stochastic ito volterra integral equations convergence and error analysis of the chebyshev wavelets basis are investigated to reveal the accuracy and efficiency of the proposed method some numerical examples are included

weighted composition operators from weighted bergman spaces to weighted type spaces on the unit ball we calculate the operator norm of the weighted composition operator from a weighted bergman space to a weighted type space on the unit ball of c n we also characterize the compactness of the operator

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

geometric models and compactness of composition operators abstract this work explores some of the terrain between functional equations geometric function theory and operator theory it is inspired by the fact that whenever a composition operator or one of its powers is compact on the hardy space h 2 then its eigenfunctions cannot grow too quickly on the unit disc the goal is to show that under certain natural and necessary additional conditions there is a converse slow growth of eigenfunctions implies compactness we interpret the slow growth condition in terms of the geometry of the principal eigenfunction of the composition operator the konigs function of the inducing map we emphasize throughout the importance of this eigenfunction in providing a simple geometric model for the operator s inducing map

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

compact composition operators on besov spaces we give a carleson measure characterization of the compact composition operators on besov spaces we use this characterization to show that every compact composition operator on a besov space is compact on the bloch space finally we give conditions that guarantee that the converse holds

an integral type operator from qk p q spaces to zygmund type spaces abstract we study the boundedness and compactness of an integral type operator from q k p q and q k 0 p q spaces to zygmund type spaces in particular we use two families of functions to characterize the boundedness and compactness

composition type operator from bergman space to μ bloch type space in cn abstract let be a holomorphic self map of b and h b a composition type operator t is defined by t f f we can regard this operator as a generalization of a multiplication operator and a composition operator for normal functions some necessary and sufficient conditions are given for which t is a bounded or compact operator from bergman space to bloch type space on the unit ball of c n as a corollary we obtain the pointwise multiplier from bergman space to bloch type space on b

bessel polynomial solutions of high order linear volterra integro differential equations abstract in this study a practical matrix method which is based on collocation points is presented to find approximate solutions of high order linear volterra integro differential equations vides under the mixed conditions in terms of bessel polynomials numerical examples are included to demonstrate the validity and applicability of the technique and comparisons are made with the existing results the results show the efficiency and accuracy of the present work all of the numerical computations have been performed on the computer using a program written in matlab v7 6 0 r2008a

differences of generalized composition operators on the bloch space abstract the boundedness and compactness of the differences of two generalized composition operators on the bloch space in the unit disk are investigated in this paper

an effective scheme for solving system of fractional volterra fredholm integro differential equations based on the muntz legendre wavelets abstract in this study a class of wavelet techniques is used for finding approximate solutions of systems of fractional integro differential volterra fredholm fidvf equations based on the muntz legendre wavelets mlw for the suggested method operational matrices of the riemann liouville fractional rlf integral and caputo fractional cf derivative operators are obtained and used for converting the system of the integral equations into a system of linear or nonlinear algebraic equations using the lipschitz s condition for multivariate functions and the fixed point theorem the existence and uniqueness of the solution are shown and also convergence stability and error bound of the solution in interval 0 1 are investigated in this work at the end three examples are indicated and the results of the proposed method are compared with the first and second kind wavelet chebyshev methods

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

composition operators from the weighted bergman space to the nth weighted type space on the upper half plane abstract the boundedness of the composition operator from the weighted bergman space to recently introduced by this author the nth weighted type space on the upper half plane z c im z 0 are characterized here

numerical solution of differential equations by using chebyshev wavelet operational matrix of integration in this paper we present operational matrix of integration omi of chebyshev wavelets basis and the product operation matrix pom of it some comparative examples are included to demonstrate the superiority of operational matrix of chebyshev wavelets to those of legendre wavelets

a wavelet based approach for vibration analysis of framed structures in this paper an explicit time integration scheme is proposed for structural vibration analysis by using wavelet functions initially the differential equation of vibration governing sdof single degree of freedom systems has been solved by wavelet operators and later the proposed approach has been generalized for mdof multi degrees of freedom systems for this purpose two different types of wavelet functions have been exemplified including complex chebyshev wavelet functions and simple haar wavelet functions in the proposed approach a straightforward formulation has been derived from the numerical approximation of response through the wavelet definition emphasizing on frequency domain approximation a simple step by step algorithm has been implemented and improved to calculate the response of mdof systems moreover stability and accuracy of results have been evaluated the effectiveness of the proposed approach is demonstrated using three examples compared with some of the existing numerical integration schemes such as family of newmark b wilson q and central difference method in all the procedures computation time involved has also been considered finally it is concluded that the vibration analysis of structures is improved by lesser computation time and high accuracy of proposed approach particularly in large scaled systems

quadrature rules for numerical integration based on haar wavelets and hybrid functions in this paper haar wavelets and hybrid functions have been applied for numerical solution of double and triple integrals with variable limits of integration this approach is the generalization and improvement of the methods siraj ul islam et al 2010 9 where the numerical methods are only applicable to the integrals with constant limits apart from generalization of the methods 9 the new approach has two major advantages over the classical methods based on quadrature rule i no need of finding optimum weights as the wavelet and hybrid coefficients serve the purpose of optimal weights automatically ii mesh points of the wavelets algorithm are used as nodal values instead of considering the n nodes as unknown roots of polynomial of degree n the new methods are more efficient the novel methods are compared with existing methods and applied to a number of benchmark problems accuracy of the methods are measured in terms of absolute errors

weighted composition operators from zygmund spaces into bloch spaces abstract let be an analytic self map and u be a fixed analytic function on the open unit disk d in the complex plane c the weighted composition operator is defined by uc f z u z f z z d f h d this paper studies the boundedness and compactness of weighted composition operators from zygmund spaces into bloch spaces

matrix factorizations and their perturbations there are several ways in which a matrix can be factorized as a product of two special matrices these factorizations are often used in numerical analysis and many perturbation bounds useful in such analysis have been proved by various authors in this paper a simple method which leads to these results and several new ones is discussed in the last section related results on the lipschitz continuity of the matrix absolute value are surveyed

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

discretization algorithm for fractional order integral by haar wavelet approximation abstract a discretization algorithm is proposed by haar wavelet approximation theory for the fractional order integral in this paper the integration time is divided into two parts one presents the effect of the past sampled data calculated by the iterative method and the other presents the effect of the recent sampled data at a fixed time interval calculated by the haar wavelet this method can reduce the amount of the stored data effectively and be applied to the design of discrete time fractional order pid controllers finally several numerical examples and simulation results are given to illustrate the validity of this discretization algorithm

composition operators on bloch orlicz type spaces abstract in this paper we use young s functions to define the bloch orlicz spaces as a generalization of bloch spaces we study continuity boundedness from below and compactness of composition operators on bloch orlicz spaces

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

compact composition operators on the bloch space of the unit ball abstract in this paper we give several new necessary and sufficient conditions for the compactness of the composition operator c on the bloch space of the unit ball b n

new algorithms for the numerical solution of nonlinear fredholm and volterra integral equations using haar wavelets two new algorithms based on haar wavelets are proposed the first algorithm is proposed for the numerical solution of nonlinear fredholm integral equations of the second kind and the second for the numerical solution of nonlinear volterra integral equations of the second kind these methods are designed to exploit the special characteristics of haar wavelets in both one and two dimensions formulae for calculating haar coefficients without solving the system of equations have been derived these formulae are then used in the proposed numerical methods in contrast to other numerical methods the advantage of our method is that it does not involve any intermediate numerical technique for evaluation of the integral present in integral equations the methods are validated on test problems and numerical results are compared with those from existing methods in the literature

composition operators from logarithmic bloch spaces to weighted bloch spaces we characterize the analytic self maps f of the unit disk d in c that induce continuous composition operators c f from the log bloch space b l o g d to m bloch spaces b m d in terms of the sequence of quotients of the m bloch semi norm of the nth power of f and the log bloch semi norm of the nth power f n of the identity function on d where m d 0 is continuous and bounded we also obtain an expression that is equivalent to the essential norm of c f between these spaces thus characterizing f such that c f is compact after finding a pairwise norm equivalent family of log bloch type spaces that are defined on the unit ball b n of c n and include the log bloch space we obtain an extension of our boundedness compactness essential norm results for c f acting on b l o g to the case when c f acts on these more general log bloch type spaces

norm essential norm and weak compactness of weighted composition operators between dual banach spaces of analytic functions abstract in this paper we estimate the norm and the essential norm of weighted composition operators from a large class of non necessarily reflexive banach spaces of analytic functions on the open unit disk into weighted type banach spaces of analytic functions and bloch type spaces we also show the equivalence of compactness and weak compactness of weighted composition operators from these weighted type spaces into a class of banach spaces of analytic functions that includes a large family of conformally invariant spaces like bmoa and analytic besov spaces

a class of integral operators on spaces of analytic functions abstract we determine the spectrum and essential spectrum as well as resolvent estimates for a class of integral operators t f z z 1 1 z 0 z f 1 1 d acting on either the analytic besov spaces or other banach spaces of analytic functions on the unit disc including the classical hardy and weighted bergman spaces as well as certain dirichlet spaces and generalized bloch spaces our results unify and extend recent work by aleman and persson 2 the current authors 4 and albrecht and miller 1

differences of composition operators between weighted type spaces of holomorphic functions on the unit ball of cn we consider differences of composition operators between weighted type or little weighted type spaces of analytic functions on the unit ball with weighted sup norms and give estimates for the distance of these differences to the space of compact operators we also study the boundedness and compactness of these operators

sensitivity analyses for factorizations of sparse or structured matrices abstract for a unique factorization of a matrix b the effect of sparsity or other structure on measuring the sensitivity of the factors of b to some change g in b is considered in particular norm based analyses of the qr and cholesky factorizations are examined if b is structured but g is not it is shown that the expressions for the condition numbers are identical to those when b is not structured but because of the structure the condition numbers may be easier to estimate if g is structured whether b is or not then the expressions for the condition numbers can change and it is shown how to derive the new expressions cases where b and g have the same sparsity structure occur often here for the qr factorization an example shows the value of the new expression can be arbitrarily smaller but for the cholesky factorization of a tridiagonal matrix and perturbation the value of the new expression cannot be significantly different from the value of the old one thus taking account of sparsity can show the condition is much better than would be suggested by ignoring it but only for some classes of problems and perhaps only for some types of factorization the generalization of these ideas to other factorizations is discussed

chebyshev wavelets approach for nonlinear systems of volterra integral equations in this paper a new approach for solving nonlinear systems of volterra integral equations has been proposed the method is based on chebyshev wavelets approximations the method is described and after that the error is analyzed at the end some examples are presented to illustrate the ability and simplify of the method and the results reveal the effectiveness of the technique

solving fredholm integro differential equations using reproducing kernel hilbert space method in this study the numerical solution of fredholm integro differential equation is discussed in a reproducing kernel hilbert space a reproducing kernel hilbert space is constructed in which the initial condition of the problem is satisfied the exact solution ux is represented in the form of series in the space w 2 2 a b in the mean time the n term approximate solution u n x is obtained and is proved to converge to the exact solution u x furthermore we present an iterative method for obtaining the solution in the space w 2 2 a b some examples are displayed to demonstrate the validity and applicability of the proposed method the numerical result indicates that the proposed method is straightforward to implement efficient and accurate for solving linear and nonlinear fredholm integro differential equations

theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear lane emden type equations abstract in this article a new method is generated to solve nonlinear lane emden type equations using legendre hermite and laguerre wavelets we are interested to note that these wavelets will give same solutions with good accuracy theorems on convergence analysis are stated and proved on the spaces which are created by legendre hermite and laguerre wavelets bases and justified these spaces are equivalent to polynomial linear space generated by general polynomial basis the main idea for obtaining numerical solutions depends on converting the differential equation with initial and boundary conditions into a system of linear or nonlinear algebraic equations with unknown coefficients a very high level of accuracy reflects the reliability of this scheme for such problems

ergodic properties of composition operators on banach spaces of analytic functions abstract the composition operators defined on little bloch spaces bergman spaces hardy spaces or little weighted bergman spaces of infinite type when well defined are shown to be mean ergodic if and only if they are power bounded if and only if the symbol has an interior fixed point for these operators uniform mean ergodicity is equivalent to quasicompactness in the sense of yosida and kakutani