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Interpolation of Operators: Volume 129

Interpolation of Operators: Volume 129

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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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Product details

  • Hardback | 469 pages
  • 156 x 232 x 38mm | 898.11g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 0120887304
  • 9780120887309
  • 1,762,889

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  1. Categories:
  2. Mathematical Foundations
  3. Algebra
  4. Calculus & Mathematical Analysis
  5. Calculus
  6. Real Analysis, Real Variables
  7. Functional Analysis & Transforms
  8. Numerical Analysis

Table of contents

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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