Interpolation of Operators
- 1st Edition, Volume 129 - July 12, 2011
- Imprint: Academic Press
- Authors: Colin Bennett, Robert C. Sharpley
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 3 9 9 4 5 8 - 5
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 8 7 4 4 8 - 7
This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough… Read more
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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.
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.
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.
- Edition: 1
- Volume: 129
- Published: July 12, 2011
- Imprint: Academic Press
- Language: English
CB
Colin Bennett
Affiliations and expertise
University of South CarolinaRS
Robert C. Sharpley
Affiliations and expertise
University of South CarolinaRead Interpolation of Operators on ScienceDirect