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...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser
2011, 2011
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| Edition: | 1st ed. 2011 |
| Series: | Operator Theory: Advances and Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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