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arXiv · 2408.15599

Precompact Sets in Matrix Weighted Lebesgue Spaces with Variable Exponent

Shengrong Wang·Pengfei Guo·Jingshi Xu
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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.

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Shengrong Wang, Pengfei Guo, Jingshi Xu. 2024-08-28. Precompact Sets in Matrix Weighted Lebesgue Spaces with Variable Exponent. https://arxiv.org/abs/2408.15599

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