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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Cruz-Uribe, David V. (Autor), Martell, José Maria (Autor), Pérez, Carlos (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2011.
Edición:1st ed. 2011.
Colección:Operator Theory: Advances and Applications, 215
Temas:
Mathematical analysis.
Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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