Interpolation of Operators

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, History
Cover of the book Interpolation of Operators by Colin Bennett, Robert C. Sharpley, Elsevier Science
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Author: Colin Bennett, Robert C. Sharpley ISBN: 9780080874487
Publisher: Elsevier Science Publication: April 1, 1988
Imprint: Academic Press Language: English
Author: Colin Bennett, Robert C. Sharpley
ISBN: 9780080874487
Publisher: Elsevier Science
Publication: April 1, 1988
Imprint: Academic Press
Language: English

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.

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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.

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