Precompact Sets in Matrix Weighted Lebesgue Spaces with Variable Exponent
Functional Analysis
2024-08-29 v1
Abstract
In this paper, we first give a sufficiently condition for precompactness in the matrix-weighted Lebesgue spaces with variable exponent by translation operator. Then we obtain a criterion for precompactness in the matrix-weighted Lebesgue space with variable exponent by average operator. Next, we give a criterion for precompactness in the matrix-weighted Lebesgue space with variable exponent by approximate identity. Finally, precompactness in the matrix-weighted Sobolev space with variable exponent is also considered.
Keywords
Cite
@article{arxiv.2408.15599,
title = {Precompact Sets in Matrix Weighted Lebesgue Spaces with Variable Exponent},
author = {Shengrong Wang and Pengfei Guo and Jingshi Xu},
journal= {arXiv preprint arXiv:2408.15599},
year = {2024}
}