Restricted type estimates on the Bergman projection of some singular domains
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912252128395264 |
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| author | Chakrabarti, Debraj Huo, Zhenghui |
| author_facet | Chakrabarti, Debraj Huo, Zhenghui |
| contents | We obtain (weighted) restricted type estimates for the Bergman projection operator on monomial polyhedra, a class of domains generalizing the Hartogs triangle. From these estimates, we recapture $L^p$ boundedness results of the Bergman projection on these domains. On some monomial polyhedra, we also discover that the Bergman projection could fail to be of weak type $(q_*,q_*)$ where $q_*$ is the right endpoint of the interval of $L^p$-regularity of the domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_21071 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Restricted type estimates on the Bergman projection of some singular domains Chakrabarti, Debraj Huo, Zhenghui Complex Variables Classical Analysis and ODEs 32A25, 32A36, 32A50 We obtain (weighted) restricted type estimates for the Bergman projection operator on monomial polyhedra, a class of domains generalizing the Hartogs triangle. From these estimates, we recapture $L^p$ boundedness results of the Bergman projection on these domains. On some monomial polyhedra, we also discover that the Bergman projection could fail to be of weak type $(q_*,q_*)$ where $q_*$ is the right endpoint of the interval of $L^p$-regularity of the domain. |
| title | Restricted type estimates on the Bergman projection of some singular domains |
| topic | Complex Variables Classical Analysis and ODEs 32A25, 32A36, 32A50 |
| url | https://arxiv.org/abs/2502.21071 |