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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2406.08736 |
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| _version_ | 1866911915731582976 |
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| author | Lin, Yan Zhao, Yuhang Yang, Shuhui |
| author_facet | Lin, Yan Zhao, Yuhang Yang, Shuhui |
| contents | 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 $BMO$ functions. Even when the generalized kernels condition goes back to the Dini kernel condition, the conclusions on the commutators remain new. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08736 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multilinear Fractional Integral Operators with Generalized Kernels Lin, Yan Zhao, Yuhang Yang, Shuhui Functional Analysis 42B25, 26A33, 42B35 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 $BMO$ functions. Even when the generalized kernels condition goes back to the Dini kernel condition, the conclusions on the commutators remain new. |
| title | Multilinear Fractional Integral Operators with Generalized Kernels |
| topic | Functional Analysis 42B25, 26A33, 42B35 |
| url | https://arxiv.org/abs/2406.08736 |