Multilinear Fractional Integral Operators with Generalized Kernels

被引：0

作者：

Lin, Yan ^{[1
]}

Zhao, Yuhang ^{[1
]}

Yang, Shuhui ^{[2
]}

机构：

[1] China Univ Min & Technol, Sch Sci, Beijing 100083, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ China, Beijing 100875, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2024年

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

multilinear fractional integral operators with generalized kernel; multilinear com- mutators; variable exponent Lebesgue spaces; weighted Lebesgue spaces; CALDERON-ZYGMUND OPERATORS; L-P; FOURIER-TRANSFORMS; DINIS TYPE; COMMUTATORS; BOUNDEDNESS; SPACES;

D O I：

10.11650/tjm/241201

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we introduce a class of multilinear fractional integral operators with generalized kernels that are weaker than the Dini kernel condition. We establish the boundedness of multilinear fractional integral operators with generalized kernels on weighted Lebesgue spaces and variable exponent Lebesgue spaces, as well as the boundedness of multilinear commutators generated by multilinear fractional integral operators with generalized kernels and BMO functions. Even when the generalized kernels condition goes back to the Dini kernel condition, the conclusions on the commutators remain new.

引用

页数：22

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