A sufficient condition for $L^p$ regularity of the Berezin transform
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866913575763705856 |
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| author | Gogus, Nihat Gokhan Sahutoglu, Sonmez |
| author_facet | Gogus, Nihat Gokhan Sahutoglu, Sonmez |
| contents | We prove that the Berezin transform is $L^p$ regular on a large class of domains in $\mathbb{C}^n$ and not $L^2$ regular on the Hartogs triangle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_07082 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A sufficient condition for $L^p$ regularity of the Berezin transform Gogus, Nihat Gokhan Sahutoglu, Sonmez Complex Variables Functional Analysis Primary 32A25, Secondary 47G35 We prove that the Berezin transform is $L^p$ regular on a large class of domains in $\mathbb{C}^n$ and not $L^2$ regular on the Hartogs triangle. |
| title | A sufficient condition for $L^p$ regularity of the Berezin transform |
| topic | Complex Variables Functional Analysis Primary 32A25, Secondary 47G35 |
| url | https://arxiv.org/abs/2108.07082 |