Entropy function spaces and interpolation

Joan Cerdà, Heribert Coll, Joaquim Martín

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Abstract

We associate to every function space, and to every entropy function E, a scale of spaces Λp,q (E) similar to the classical Lorentz spaces Lp,q. Necessary and sufficient conditions for they to be normed spaces are proved, their role in real interpolation theory is analyzed, and a number of applications to functional and interpolation properties of several variants of Lorentz spaces and entropy spaces are given. © 2004 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)269-295
JournalJournal of Mathematical Analysis and Applications
Volume304
DOIs
Publication statusPublished - 1 Apr 2005

Keywords

  • Banach function space
  • Calderón couple
  • Entropy
  • K-functional
  • Lorentz space
  • Marcinkiewicz space
  • Real interpolation

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