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

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 language	English
Pages (from-to)	1-33
Number of pages	33
Journal	Mediterranean Journal of Mathematics
DOIs	https://doi.org/10.1007/s00009-015-0668-2
Publication status	Accepted/In press - Jan 2 2016

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Keywords

Beurling algebra
Hardy space
Herz space
variable exponent

ASJC Scopus subject areas

Mathematics(all)

Cite this

Izuki, M., & Noi, T. (Accepted/In press). Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent. Mediterranean Journal of Mathematics, 1-33. https://doi.org/10.1007/s00009-015-0668-2

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10.1007/s00009-015-0668-2