Custom cover image
Custom cover image

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

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Operator Theory: Advances and Applications ; 215 | SpringerLink BücherPublisher: Basel : Springer Basel, 2011Description: Online-Ressource (XIII, 280p, digital)ISBN:
  • 9783034800723
Subject(s): Additional physical formats: 9783034800716 | Buchausg. u.d.T.: Weights, extrapolation and the theory of Rubio de Fancia. Basel : Birkhäuser Verlag, 2011. XIII, 280 S.MSC: MSC: *46-02 | 47-02 | 42-02 | 46E30 | 42B20 | 42B25RVK: RVK: SK 620LOC classification:
  • QA299.6-433
DOI: DOI: 10.1007/978-3-0348-0072-3Online resources: Summary: 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.Summary: 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. .PPN: PPN: 1650909535Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
No physical items for this record
KIT – The University in the Helmholtz Association                         Home | Impressum | Datenschutz | Barrierefreiheit | KIT