By
Colin Bennett, University of South Carolina
Robert Sharpley, University of South Carolina
Description
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.
Included in series
Pure and Applied Mathematics
Audience:
Mathematics graduate students and researchers; mathematical reference libraries.
