Interpolation of Operators (Google eBook)

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Academic Press, Apr 1, 1988 - Mathematics - 469 pages
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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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Contents

Chapter 1 Banach Function Spaces
1
Chapter 2 RearrangementInvariant Banach Function Spaces
35
Chapter 3 Interpolation of Operators on Rearrangement Invariant Spaces
95
Chapter 4 The Classical Interpolation Theorems
183
Chapter 5 The KMethod
291
Appendix A
441
References
443
Bibliography
445
Index
461
List of Notations
467
Pure and Applied Mathematics
470
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About the author (1988)

Colin Bennett is Professor in the Department of Political Science at the University of Victoria.

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