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).

引用

页数：22

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