Work

Precompact sets in matrix weighted Lebesgue spaces with variable exponent

Year: 2025

Type: article

Abstract: In this paper, we first give a sufficient condition for precompactness in the matrix-weighted Lebesgue spaces with variable exponent by translation. Then we obtain a criterion for precompactness in the matrix-weighted Lebesgue spaces with variable exponent by average. Next, we give a criterion for precompactness in the matrix-weighted Lebesgue spaces with variable exponent by approximate identity. Finally, precompactness in the matrix-weighted Sobolev spaces with variable exponent is also considered.

Source: Georgian Mathematical Journal

DOI: 10.1515/gmj-2025-2029

Authors: Shengrong Wang, Pengfei Guo, Jingshi Xu

Institutions: Hainan Normal University, Guilin University of Electronic Technology

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G7219545044, G9000185209