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  • Book
  • © 1994

Extrapolation and Optimal Decompositions

with Applications to Analysis

Authors:

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1580)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xi
  2. Introduction

    • Mario Milman
    Pages 1-5
  3. Background on extrapolation theory

    • Mario Milman
    Pages 7-34
  4. Back Matter

    Pages 149-163

About this book

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.

Keywords

  • Sobolev spaces
  • calculus
  • compactness
  • compensated compactness
  • differential equation
  • extrapolation
  • interpolation
  • logarithm
  • maximum
  • partial differential equation
  • partial differential equations

Bibliographic Information

  • Book Title: Extrapolation and Optimal Decompositions

  • Book Subtitle: with Applications to Analysis

  • Authors: Mario Milman

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0073498

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • Softcover ISBN: 978-3-540-58081-2Published: 28 July 1994

  • eBook ISBN: 978-3-540-48439-4Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 164

  • Topics: Analysis, Topological Groups and Lie Groups

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions