Extrapolation and Optimal Decompositions
Subtitle: with Applications to Analysis
Publisher: Springer
Published: Sep 09, 1994
Format: paperback
Number of pages: 180
ISBN-13: 9783540580812
Description: This book develops a theory of extrapolation spaces with applications to classical and modern analysis. Extrapolation theory aims to provide a general framework to study limiting estimates in analysis. The book also considers the role that optimal decompositions play in limiting inequalities incl. commutator estimates. Most of the results presented are new or have not appeared in book form before. A special feature of the book are the applications to other areas of analysis. Among them Sobolev imbedding theorems in different contexts including logarithmic Sobolev inequalities are obtained, commutator estimates are connected to the theory of comp. compactness, a connection with maximal regularity for abstract parabolic equations is shown, sharp estimates for maximal operators in classical Fourier analysis are derived.
Notes: Source title: Extrapolation and Optimal Decompositions: with Applications to Analysis (Lecture Notes in Mathematics)