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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.09335 |
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| _version_ | 1866912719855157248 |
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| author | Jin, Jianjun Li, Huabing |
| author_facet | Jin, Jianjun Li, Huabing |
| contents | In this paper, by introducing some parameters, we define and study certain $p$-adic Hardy-Littlewood-Pólya-type integral operators acting on $p$-adic weighted Lebesgue spaces. We completely characterize $L^{q}-L^{r}$ boundedness of these operators for all $(q, r)\in [1, \infty]\times[1, \infty]$. For some special cases, we obtain sharp norm estimates for the operators. These results are not only a complement to some previous results but also an extension of existing ones in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundedness and norm of certain p-adic Hardy-Littlewood-Pólya-type operators Jin, Jianjun Li, Huabing Functional Analysis 47G10, 11S80 In this paper, by introducing some parameters, we define and study certain $p$-adic Hardy-Littlewood-Pólya-type integral operators acting on $p$-adic weighted Lebesgue spaces. We completely characterize $L^{q}-L^{r}$ boundedness of these operators for all $(q, r)\in [1, \infty]\times[1, \infty]$. For some special cases, we obtain sharp norm estimates for the operators. These results are not only a complement to some previous results but also an extension of existing ones in the literature. |
| title | Boundedness and norm of certain p-adic Hardy-Littlewood-Pólya-type operators |
| topic | Functional Analysis 47G10, 11S80 |
| url | https://arxiv.org/abs/2505.09335 |