Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent

Mitsuo Izuki, Takahiro Noi

Research output: Contribution to journal › Article

9 Citations (Scopus)

Abstract

García-Cuerva (J Lond Math Soc (2) 39:499–513, 1989) has introduced Herz spaces associated to (Formula presented.) and studied atomic decomposition and its duality, where the space (Formula presented.) 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)1-33
Number of pages33
JournalMediterranean Journal of Mathematics
DOIs
Publication statusAccepted/In press - Jan 2 2016

Fingerprint

Herz Space
Atomic Decomposition
Variable Exponent
Hardy Space
Duality

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent. / Izuki, Mitsuo; Noi, Takahiro.

In: Mediterranean Journal of Mathematics, 02.01.2016, p. 1-33.

Research output: Contribution to journal › Article

Izuki, M & Noi, T 2016, 'Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent', Mediterranean Journal of Mathematics, pp. 1-33. https://doi.org/10.1007/s00009-015-0668-2
Izuki M, Noi T. Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent. Mediterranean Journal of Mathematics. 2016 Jan 2;1-33. https://doi.org/10.1007/s00009-015-0668-2
Izuki, Mitsuo ; Noi, Takahiro. / Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent. In: Mediterranean Journal of Mathematics. 2016 ; pp. 1-33.
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