Interpolation of Operators, Volume 129

1st Edition

Authors: Colin Bennett Robert Sharpley
Hardcover ISBN: 9780120887309
eBook ISBN: 9780080874487
Imprint: Academic Press
Published Date: 28th February 1988
Page Count: 469
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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.


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.


Mathematics graduate students and researchers; mathematical reference libraries.


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© Academic Press 1988
Academic Press
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About the Authors

Colin Bennett Author

Affiliations and Expertise

University of South Carolina

Robert Sharpley Author

Affiliations and Expertise

University of South Carolina