Generalized Hilbert matrix operators acting on weighted sequence spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866910259152420864 |
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| author | Jin, Jianjun |
| author_facet | Jin, Jianjun |
| contents | In this paper we introduce and study a new kind of generalized Hilbert matrix operators, induced by a positive finite Borel measure on (0,1), acting on weighted sequence spaces. We establish a sufficient and necessary condition for the boundedness of these operators. These results extend some related ones obtained recently in [Bull. London Math. Soc., 55 (2023), no. 6, 2598-2610]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19743 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Hilbert matrix operators acting on weighted sequence spaces Jin, Jianjun Classical Analysis and ODEs Functional Analysis 47B37, 47B01, 47A30 In this paper we introduce and study a new kind of generalized Hilbert matrix operators, induced by a positive finite Borel measure on (0,1), acting on weighted sequence spaces. We establish a sufficient and necessary condition for the boundedness of these operators. These results extend some related ones obtained recently in [Bull. London Math. Soc., 55 (2023), no. 6, 2598-2610]. |
| title | Generalized Hilbert matrix operators acting on weighted sequence spaces |
| topic | Classical Analysis and ODEs Functional Analysis 47B37, 47B01, 47A30 |
| url | https://arxiv.org/abs/2504.19743 |