The Commutators of $n$-dimensional Rough Fractional Hardy Operators on Two Weighted Grand Herz-Morrey Spaces with Variable Exponents
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916620789612544 |
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| author | Wang, Shengrong Guo, Pengfei Xu, Jingshi |
| author_facet | Wang, Shengrong Guo, Pengfei Xu, Jingshi |
| contents | In this paper, we obtain the boundedness of $m$th order commutators generated by the $n$-dimensional fractional Hardy operator with rough kernel and its adjoint operator with BMO functions on two weighted grand Herz-Morrey spaces with variable exponents. Replacing Lipschitz functions with BMO functions the corresponding result is also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13848 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Commutators of $n$-dimensional Rough Fractional Hardy Operators on Two Weighted Grand Herz-Morrey Spaces with Variable Exponents Wang, Shengrong Guo, Pengfei Xu, Jingshi Functional Analysis In this paper, we obtain the boundedness of $m$th order commutators generated by the $n$-dimensional fractional Hardy operator with rough kernel and its adjoint operator with BMO functions on two weighted grand Herz-Morrey spaces with variable exponents. Replacing Lipschitz functions with BMO functions the corresponding result is also given. |
| title | The Commutators of $n$-dimensional Rough Fractional Hardy Operators on Two Weighted Grand Herz-Morrey Spaces with Variable Exponents |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2502.13848 |