Mapping properties for operators on Herz-Morrey and Herz-Morrey-Hardy spaces

被引：1
|
作者：
Wei, Mingquan [1 ]
机构：
[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2023年 / 14卷 / 01期
关键词：
Herz-Morrey space; Boundedness; Extrapolation; Dyadic Herz block space; Herz-Morrey-Hardy space; EXTRAPOLATION TECHNIQUES; SINGULAR-INTEGRALS; MAXIMAL OPERATORS; BOUNDEDNESS; INEQUALITIES; FACTORIZATION; WEIGHTS;
D O I：
10.1007/s11868-022-00501-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we bulid the extrapolation theory for Herz-Morrey spaces, from which the mapping properties of the parametric Marcinkiewicz integrals, the geometric maximal operator, the minimal operator and the Rubio de Francia inequalities on Herz-Morrey spaces are deduced. By extending the extrapolation theory to Herz-Morrey-Hardy spaces, we also obtain the boundedness of the singular integral operators and the maximal Bochner-Riesz means on Herz-Morrey-Hardy spaces.
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页数：27
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