Weights, Extrapolation and the Theory of Rubio de Francia

• Κύριοι συγγραφείς: Cruz-Uribe, David V. (Συγγραφέας), Martell, José Maria (Συγγραφέας), Pérez, Carlos (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel, 2011.
• Σειρά: Operator Theory: Advances and Applications ; 215
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Analysis.

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...

Πίνακας περιεχομένων:

• 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.