Work

Multilinear Fractional Integral Operators with Generalized Kernels

Year: 2024

Type: article

Abstract: 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 $\operatorname{BMO}$ functions. Even when the generalized kernels condition goes back to the Dini kernel condition, the conclusions on the commutators remain new.

Source: Taiwanese Journal of Mathematics

DOI: 10.11650/tjm/241201

Authors: Yan Lin, Yuhang Zhao, Shuhui Yang

Institutions: China University of Mining and Technology, Beijing Normal University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, China University of Mining and Technology

Award: G6546682823