Atomic decomposition of Hardy-amalgam spaces

被引：19

作者：

Able, Zobo Vincent de Paul ^{[1
]}

Feuto, Justin ^{[2
]}

机构：

[1] Univ Felix Houphouet Boigny Abidjan Cocody, UFR Math & Informat, Lab Math Fondamentales, 22 BP 582, Abidjan 22, Cote Ivoire

[2] Univ Felix Houphouet Boigny Abidjan Cocody, UFR Math & Informat, Lab Math Fondamentales, 22 BP 1194, Abidjan 22, Cote Ivoire

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 455卷 / 02期

关键词：

Amalgam spaces; Hardy spaces; Hardy-amalgam spaces; Maximal characterization; Atomic decomposition; Singular integrals; BOUNDEDNESS; OPERATORS; LP;

D O I：

10.1016/j.jmaa.2017.06.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define a Hardy type space, by taking in the maximal characterization of Hardy spaces, the Wiener amalgam norms of the maximal functions, instead of the Lebesgue norms. The functions in this space can then behave differently locally and at infinity. We prove that this space contains the classical Hardy space and obtain an atomic decomposition. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：1899 / 1936

页数：38

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