Extrapolation and Optimal Decompositions: with Applications to Analysis (Lecture Notes in Mathematics) by Mario Milman
Extrapolation and Optimal Decompositions: with Applications to Analysis (Lecture Notes in Mathematics)
Author: Mario Milman
Title: Extrapolation and Optimal Decompositions: with Applications to Analysis (Lecture Notes in Mathematics)
ISBN10: 3540580816
ISBN13: 978-3540580812
Format: .PDF .EPUB .FB2
Pages:
Publisher: Springer; 1994 edition (September 9, 1994)
Language: English
Size pdf: 1631 kb
Size epub: 1772 kb
Rating: 3.7 ✪
Votes: 512
Category: Science & Math
Subcategory: Mathematics
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.