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Extrapolation and optimal decompositions : with applications to analysis

Author: Mario Milman
Publisher: Berlin ; New York : Springer-Verlag, ©1994.
Series: Lecture notes in mathematics (Springer-Verlag), 1580.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book develops a theory of extrapolation spaces with applications to classical and modern analysis. Extrapolation theory aims to provide a general framework to study limiting estimates in analysis. The book also considers the role that optimal decompositions play in limiting inequalities incl. commutator estimates. Most of the results presented are new or have not appeared in book form before. A special feature  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Milman, Mario.
Extrapolation and optimal decompositions.
Berlin ; New York : Springer-Verlag, ©1994
(DLC) 94017908
(OCoLC)30594419
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mario Milman
ISBN: 9783540484394 3540484396
OCLC Number: 289094239
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (xi, 159 pages).
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: 1. Introduction --
2. Background On Extrapolation Theory --
3. K/J Inequalities and Limiting Embedding Theorems --
4. Calculations with the [Delta] method and applications --
5. Bilinear Extrapolation And A Limiting Case of a Theorem by Cwikel --
6. Extrapolation, Reiteration, and Applications --
7. Estimates For Commutators In Real Interpolation --
8. Sobolev Imbedding Theorems and Extrapolation of Infinitely Many Operators --
9. Some Remarks on Extrapolation Spaces and Abstract Parabolic Equations --
10. Optimal Decompositions, Scales, and Nash-Moser Iteration.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1580.
Responsibility: Mario Milman.

Abstract:

This book develops a theory of extrapolation spaces with applications to classical and modern analysis. compactness, a connection with maximal regularity for abstract parabolic equations is shown,  Read more...

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