Weights, Extrapolation and the Theory of Rubio de Francia [recurso electrónico] / by David V. Cruz-Uribe, José Maria Martell, Carlos Pérez.

Por: Cruz-Uribe, David V [author.]Colaborador(es): Martell, José Maria [author.] | Pérez, Carlos [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Operator Theory: Advances and Applications ; 215Editor: Basel : Springer Basel, 2011Descripción: XIV, 282 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783034800723Tema(s): Mathematics | Global analysis (Mathematics) | Mathematics | AnalysisFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515 Clasificación LoC:QA299.6-433Recursos en línea: Libro electrónicoTexto
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.
En: Springer eBooksResumen: 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 of the Rubio de Francia iteration algorithm. This technique allows us to give a unified presentation of the theory and to give important generalizations to Banach function spaces and to two-weight inequalities. We provide many applications to the classical operators of harmonic analysis to illustrate our approach, giving new and simpler proofs of known results and proving new theorems. The book is intended for advanced graduate students and researchers in the area of weighted norm inequalities, as well as for mathematicians who want to apply extrapolation to other areas such as partial differential equations. 
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Existencias
Tipo de ítem Biblioteca actual Colección Signatura Copia número Estado Fecha de vencimiento Código de barras
Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA299.6 -433 (Browse shelf(Abre debajo)) 1 No para préstamo 373050-2001

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.

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 of the Rubio de Francia iteration algorithm. This technique allows us to give a unified presentation of the theory and to give important generalizations to Banach function spaces and to two-weight inequalities. We provide many applications to the classical operators of harmonic analysis to illustrate our approach, giving new and simpler proofs of known results and proving new theorems. The book is intended for advanced graduate students and researchers in the area of weighted norm inequalities, as well as for mathematicians who want to apply extrapolation to other areas such as partial differential equations. 

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