Extrapolation and optimal decompositions : with applications to analysis /

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. c...

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Bibliographic Details
Main Author:	Milman, Mario
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Berlin ; New York : Springer-Verlag, [1994]
Series:	Lecture notes in mathematics (Springer-Verlag) ; 1580.
Subjects:	Extrapolation. Embeddings (Mathematics) Decomposition (Mathematics) Plongements (Mathématiques) Décomposition (Mathématiques) Functionaalanalyse. Hilbertruimten. Categorieën (wiskunde) Approximation, Théorie de l'. Décomposition (mathématiques) Espaces d'interpolation. Zerlegung <Mathematik>. Funktionenraum. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1. Introduction
2. Background On Extrapolation Theory
3. K/J Inequalities and Limiting Embedding Theorems
4. Calculations with the [Delta] method and applications
5. Bilinear Extrapolation And A Limiting Case of a Theorem by Cwikel
6. Extrapolation, Reiteration, and Applications
7. Estimates For Commutators In Real Interpolation
8. Sobolev Imbedding Theorems and Extrapolation of Infinitely Many Operators
9. Some Remarks on Extrapolation Spaces and Abstract Parabolic Equations
10. Optimal Decompositions, Scales, and Nash-Moser Iteration.