Overview
- No other book available devoted to the theory of extrapolation. Only treatment of extrapolation and factorization and its applications to two-weight norm inequalities
- Introduction of new techniques for proving two-weight norm inequalities
- Careful analysis of the proof of the classical extrapolation theorem of Rubio de Francia, demonstration of how the key ideas can be generalized to a wide variety of settings
- Includes supplementary material: sn.pub/extras
Part of the book series: Operator Theory: Advances and Applications (OT, volume 215)
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Table of contents (10 chapters)
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One-Weight Extrapolation
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Two-Weight Factorization and Extrapolation
Keywords
About this book
Reviews
From the reviews:
The book is written with care and it will be attractive to readers with different interests. In particular, the short but general overview on weighted norm inequalities and extrapolation given in Chapter 1 should be appealing to a broad audience, and many analysts will find valuable the part dealing with one-weighted inequalities, while the necessarily more technical presentation of the two-weight theory demands better preparation from the reader.
Javier Duoandikoetxea (Mathematical Reviews)
“This book presents some recent aspects of weighted norm inequalities, in particular, it deals with generalizations and applications of the extrapolation theorem of Rubio de Francia. It is well-written and its contents are well-organized. … it is useful … not only for researchers and students who are working on weighted norm inequalities but also for mathematicians working in other areas of harmonic analysis.” (Yasuo Komori, Zentralblatt MATH, Vol. 1234, 2012)
Authors and Affiliations
Bibliographic Information
Book Title: Weights, Extrapolation and the Theory of Rubio de Francia
Authors: David V. Cruz-Uribe, José Maria Martell, Carlos Pérez
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/978-3-0348-0072-3
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel AG 2011
Hardcover ISBN: 978-3-0348-0071-6Published: 07 April 2011
Softcover ISBN: 978-3-0348-0328-1Published: 29 May 2013
eBook ISBN: 978-3-0348-0072-3Published: 06 April 2011
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: XIV, 282
Topics: Analysis