Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent

Mitsuo Izuki, Takahiro Noi

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

García-Cuerva (J Lond Math Soc (2) 39:499–513, 1989) has introduced Herz spaces associated to Ap and studied atomic decomposition and its duality, where the space Ap is a special case of Herz space. In this paper, we extend the atomic decomposition and duality results to the variable exponent settings.

Original languageEnglish
Pages (from-to)2981-3013
Number of pages33
JournalMediterranean Journal of Mathematics
Volume13
Issue number5
DOIs
Publication statusPublished - Oct 1 2016

Keywords

  • Beurling algebra
  • Hardy space
  • Herz space
  • variable exponent

ASJC Scopus subject areas

  • Mathematics(all)

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