On the composition operator with variable integrability

被引：0

作者：

Alvarez, Carlos F. ^{[1
]}

Henriquez-Amador, Javier ^{[2
]}

Millan, G. John ^{[3
]}

Rodriguez, Eiver ^{[4
]}

机构：

[1] Pontificia Univ Catolica Valparaiso, Inst Matemat, Blanco Viel 596, Valparaiso, Chile

[2] Univ Valle, Dept Matemat, Ciudadela Univ Melendez Edificio E20, Cali, Colombia

[3] Univ Sinu, Area Basicas Exactas, Secc Cartagena, Ave Bosque,Transv 54 30-729, Cartagena, Colombia

[4] Univ Puerto R, Dept Matemat, 17 Ave Univ STE 1701, San Juan, PR USA

来源：

AIMS MATHEMATICS | 2025年 / 10卷 / 02期

关键词：

composition operators; variable exponent spaces; metric measure spaces; continuity; compactness; SYSTEMS;

D O I：

10.3934/math.2025095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we considered a class of composition operators on Lebesgue spaces with variable exponents over metric measure spaces. Taking advantage of the compatibility between the metric-measurable structure and the regularity properties of the variable exponent, we provided necessary and sufficient conditions for this class of operators to be bounded and compact, respectively. In addition, we showed the usefulness of the variable change to study weak compactness properties in the framework of non-standard spaces.

引用

页码：2021 / 2041

页数：21

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