The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces

被引：0
|
作者：
Xiao, Dan [1 ]
Shu, Lisheng [2 ]
机构：
[1] Anhui Profess Coll Art, Coll Humanities, Hefei 230001, Anhui, Peoples R China
[2] Anhui Normal Univ, Sch Math & Stat, Wuhu 241003, Anhui, Peoples R China
来源：
ANALYSIS IN THEORY AND APPLICATIONS | 2023年 / 39卷 / 02期
关键词：
Marcinkiewicz integrals; Herz spaces; variable exponent; grand spaces; L-P BOUNDS; FRACTIONAL INTEGRALS; GENERALIZED LEBESGUE; SOBOLEV SPACES; OPERATORS; COMMUTATORS;
D O I：
10.4208/ata.OA-2021-0007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under some natural regularity assumptions on the exponent function, we obtain the boundedness of Marcinkiewicz integrals y, yPS and y*,P A on grand variable Herz spaces. Our results enrich and improve some previous results in the literature.
引用
收藏
页码：163 / 177
页数：15
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