ENGLISH

Extrapolation and Optimal Decompositions: with Applications to Analysis

By Mario Milman (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1994
ISBN
0-387-58081-6
DOI
10.1007/BFb0073498
LCC
QA3 .L28 no. 1580,QA281 .L28 no. 1580
Open Library ID
OL1093510M
Language
english
Format
PDF
Filesize
5 MB (5198019 bytes)
Series
Lecture Notes in Mathematics 1580
Edition
1
Pages
164\174
Library
mexmat
Time added
2009-07-20 03:45:11
Analysis; Topological GroupsLie Groups

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.

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