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The Resource Extrapolation and optimal decompositions : with applications to analysis, Mario Milman

Extrapolation and optimal decompositions : with applications to analysis, Mario Milman

Label
Extrapolation and optimal decompositions : with applications to analysis
Title
Extrapolation and optimal decompositions
Title remainder
with applications to analysis
Statement of responsibility
Mario Milman
Creator
Subject
Language
eng
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 of the book are the applications to other areas of analysis. Among them Sobolev imbedding theorems in different contexts including logarithmic Sobolev inequalities are obtained, commutator estimates are connected to the theory of comp. compactness, a connection with maximal regularity for abstract parabolic equations is shown, sharp estimates for maximal operators in classical Fourier analysis are derived
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorName
Milman, Mario
Dewey number
  • 510 s
  • 511/.42
Index
index present
LC call number
  • QA3
  • QA281
LC item number
.L28 no. 1580
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1580
http://library.link/vocab/subjectName
  • Extrapolation
  • Embeddings (Mathematics)
  • Decomposition (Mathematics)
  • Decomposition (Mathematics)
  • Embeddings (Mathematics)
  • Extrapolation
  • Functionaalanalyse
  • Hilbertruimten
  • Categorieën (wiskunde)
  • Approximation, Théorie de l'
  • Décomposition (mathématiques)
  • Espaces d'interpolation
  • Zerlegung <Mathematik>
  • Funktionenraum
  • Extrapolation
Label
Extrapolation and optimal decompositions : with applications to analysis, Mario Milman
Instantiates
Publication
Bibliography note
Includes bibliographical references (149-157) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
289094239
Dimensions
unknown
Extent
1 online resource (xi, 159 pages).
Form of item
online
Isbn
9783540484394
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)289094239
System 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.
Label
Extrapolation and optimal decompositions : with applications to analysis, Mario Milman
Publication
Bibliography note
Includes bibliographical references (149-157) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
289094239
Dimensions
unknown
Extent
1 online resource (xi, 159 pages).
Form of item
online
Isbn
9783540484394
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)289094239
System 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.

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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