Extrapolation and Optimal Decompositions [electronic resource] with Applications to Analysis / by Mario Milman.

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. c...

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Bibliographic Details
Uniform Title:Lecture Notes in Mathematics, 1617-9692 ; 1580
Main Author: Milman, Mario (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994.
Edition:1st ed. 1994.
Series:Lecture Notes in Mathematics, 1580
Subjects:
Mathematical analysis.
Topological groups.
Lie groups.
Online Access:
Springer Book Archive - Mathematics: 1994 (Springer Link)
Format: Electronic eBook
Contents:
  • Background on extrapolation theory
  • K/J inequalities and limiting embedding theorems
  • Calculations with the ? method and applications
  • Bilinear extrapolation and a limiting case of a theorem by Cwikel
  • Extrapolation, reiteration, and applications
  • Estimates for commutators in real interpolation
  • Sobolev imbedding theorems and extrapolation of infinitely many operators
  • Some remarks on extrapolation spaces and abstract parabolic equations
  • Optimal decompositions, scales, and Nash-Moser iteration.