Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent

Mitsuo Izuki; Takahiro Noi

doi:10.1007/s00009-015-0668-2

Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent

Mitsuo Izuki, Takahiro Noi

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	2981-3013
Number of pages	33
Journal	Mediterranean Journal of Mathematics
Volume	13
Issue number	5
DOIs	https://doi.org/10.1007/s00009-015-0668-2
Publication status	Published - Oct 1 2016

Keywords

Beurling algebra
Hardy space
Herz space
variable exponent

ASJC Scopus subject areas

Mathematics(all)

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abstract = "Garc{\'i}a-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.",

keywords = "Beurling algebra, Hardy space, Herz space, variable exponent",

author = "Mitsuo Izuki and Takahiro Noi",

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AB - 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.

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KW - Hardy space

KW - Herz space

KW - variable exponent

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