Interpolation of operators

Colin Bennett, Robert Sharpley

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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[目次]

  • 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.

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この本の情報

書名 Interpolation of operators
著作者等 Bennett, Colin
Sharpley, Robert C.
シリーズ名 Pure and applied mathematics
出版元 Academic Press
刊行年月 c1988
ページ数 xiv, 469 p.
大きさ 24 cm
ISBN 0120887304
NCID BA03509212
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言語 英語
出版国 アメリカ合衆国
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