Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent

被引：10

作者：

Izuki, Mitsuo ^{[1
]}

Noi, Takahiro ^{[2
]}

机构：

[1] Okayama Univ, Fac Educ, 3-1-1 Tsushima Naka, Okayama 7008530, Japan

[2] Chuo Univ, Dept Math, Bunkyo Ku, 13-27 Kasuga 1 Chome, Tokyo 1128551, Japan

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期

关键词：

Hardy space; Beurling algebra; Herz space; variable exponent; FRACTIONAL INTEGRALS; MAXIMAL-FUNCTION; COMMUTATORS; BOUNDEDNESS; LEBESGUE;

D O I：

10.1007/s00009-015-0668-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：2981 / 3013

页数：33

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