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Extrapolation and Optimal Decompositions by Mario Milman
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Extrapolation and Optimal Decompositions

with Applications to Analysis
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Description

This text 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 compensated compactness, a connection with maximal regularly for abstract parabolic equations is shown, sharp estimates for maximal operators in classical Fourier analysis are derived.
Release date Australia
July 28th, 1994
Author
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
XII, 164 p.
Pages
164
Dimensions
156x234x9
ISBN-13
9783540580812
Product ID
2808693

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