A class of linear operators on Bergman spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911052732563456 |
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| author | Lou, Zengjian Rasila, Antti Zhu, Senhua |
| author_facet | Lou, Zengjian Rasila, Antti Zhu, Senhua |
| contents | We study the boundedness of the linear operator $S$ on $L^{p}_{a}(dA_α)$ $(0<p<\infty)$. In particular, we obtain a sufficient and necessary condition for the compactness of the linear operator $S$ on $L^{p}_{a}(dA_α)$ $(1<p<\infty)$. Our results weaken the assumptions of earlier results of J. Miao and D. Zheng in a certain sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09154 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A class of linear operators on Bergman spaces Lou, Zengjian Rasila, Antti Zhu, Senhua Functional Analysis Complex Variables Primary 30H20, Secondary 47B32, 46E22 We study the boundedness of the linear operator $S$ on $L^{p}_{a}(dA_α)$ $(0<p<\infty)$. In particular, we obtain a sufficient and necessary condition for the compactness of the linear operator $S$ on $L^{p}_{a}(dA_α)$ $(1<p<\infty)$. Our results weaken the assumptions of earlier results of J. Miao and D. Zheng in a certain sense. |
| title | A class of linear operators on Bergman spaces |
| topic | Functional Analysis Complex Variables Primary 30H20, Secondary 47B32, 46E22 |
| url | https://arxiv.org/abs/2507.09154 |