Boundedness of the Vector-Valued Intrinsic Square Functions on Variable Exponents Herz Spaces

被引：3
|
作者：
Omer, Omer Abdalrhman [1 ]
Abidin, Muhammad Zainul [1 ]
机构：
[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China
来源：
MATHEMATICS | 2022年 / 10卷 / 07期
关键词：
intrinsic square function; vector-valued inequality; Herz spaces; BMO function; variable exponent; sublinear operators; SUBLINEAR-OPERATORS; SOBOLEV SPACES; COMMUTATORS; MORREY; LEBESGUE;
D O I：
10.3390/math10071168
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the authors study the boundedness of the vector-valued inequality for the intrinsic square function and the boundedness of the scalar-valued intrinsic square function on variable exponents Herz spaces K-rho(.)(alpha,q(.)) (R-n). In addition, the boundedness of commutators generated P() by the scalar valued intrinsic square function and BMO class is also studied on K-rho(.)(alpha,q(.)) (R-n).
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页数：22
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