Interpolation Of Operators

Interpolation Of Operators

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by Colin Bennett, Robert C. Sharpley, Robert Sharpley
     
 

ISBN-10: 0120887304

ISBN-13: 9780120887309

Pub. Date: 12/01/1988

Publisher: Elsevier Science

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more

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Overview

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.
The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.

Product Details

ISBN-13:
9780120887309
Publisher:
Elsevier Science
Publication date:
12/01/1988
Series:
Pure and Applied Mathematics Series, #129
Pages:
492
Product dimensions:
1.25(w) x 6.00(h) x 9.00(d)

Table of Contents

Banach Function Spaces. Rearrangement-Invariant Banach Function Spaces. Interpolation of Operators on Rearrangement-Invariant Spaces. The Classical Interpolation Theorems. The K-Method. Each chapter includes references. Index.

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