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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2408.15599 |
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| _version_ | 1866916373247033344 |
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| author | Wang, Shengrong Guo, Pengfei Xu, Jingshi |
| author_facet | Wang, Shengrong Guo, Pengfei Xu, Jingshi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15599 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Precompact Sets in Matrix Weighted Lebesgue Spaces with Variable Exponent Wang, Shengrong Guo, Pengfei Xu, Jingshi Functional Analysis 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. |
| title | Precompact Sets in Matrix Weighted Lebesgue Spaces with Variable Exponent |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2408.15599 |