Weights, Extrapolation and the Theory of Rubio de Francia

Weights, Extrapolation and the Theory of Rubio de Francia

This book provides a systematic development of the Rubio de Francia theory of extrapolation, its many generalizations and its applications to one and two-weight norm inequalities. The book is based upon a new and elementary proof of the classical extrapolation theorem that fully develops the power o...

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Bibliographic Details
Main Authors: Cruz-Uribe, David V. (Author), Martell, José Maria (Author), Pérez, Carlos (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Basel : Springer Basel, 2011.
Series:Operator Theory: Advances and Applications ; 215
Subjects:
Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Analysis.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Preface
  • Preliminaries
  • Part I. One-Weight Extrapolation
  • Chapter 1. Introduction to Norm Inequalities and Extrapolation
  • Chapter 2. The Essential Theorem
  • Chapter 3. Extrapolation for Muckenhoupt Bases
  • Chapter 4. Extrapolation on Function Spaces
  • Part II. Two-Weight Factorization and Extrapolation
  • Chapter 5. Preliminary Results
  • Chapter 6. Two-Weight Factorization
  • Chapter 7. Two-Weight Extrapolation
  • Chapter 8. Endpoint and A1 Extrapolation
  • Chapter 9. Applications of Two-Weight Extrapolation
  • Chapter 10. Further Applications of Two-Weight Extrapolation
  • Appendix A. The Calderón-Zygmund Decomposition
  • Bibliography
  • Index.

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