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.
Product Identifiers
Publisher
Springer Basel
ISBN-13
9783034803281
eBay Product ID (ePID)
170002295
Product Key Features
Author
David V. Cruz-Uribe, Carlos Perez, Jose Maria Martell
Publication Name
Weights, Extrapolation and the Theory of Rubio De Francia
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2013
Type
Textbook
Number of Pages
282 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Volume
215
Item Weight
456g
Additional Product Features
Title_Author
Carlos Perez, Jose Maria Martell, David V. Cruz-Uribe
Series Title
Operator Theory: Advances and Applications
Country/Region of Manufacture
Switzerland
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