Extrapolation and Optimal Decompositions : with Applications to Analysis

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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Détails bibliographiques
Auteur principal: Milman, Mario, 1950-...., mathématicien
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in mathematics 1580
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Edition sous un autre format:• Extrapolation and optimal decompositions, with applications to analysis, Mario Milman, 1994, Berlin, Springer-Verlag, 1 vol. (XI-159 p.), Lecture notes in mathematics, 0-387-58081-6
• Extrapolation and Optimal Decompositions, Texte imprimé, 9783662172117
Table des matières:
  • 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.