Article
| Title: | $L^p$-boundedness of the Forelli-Rudin type operators on generalized Hartogs triangles (English) |
| Author: | Zou, Qingyang |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 76 |
| Issue: | 1 |
| Year: | 2026 |
| Pages: | 251-268 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We study a Forelli-Rudin type operator on a generalized Hartogs triangle defined by $$ H^k_n=\{z\in \mathbb C^n\colon |z_1|^2+\cdots +|z_k|^2<|z_{k+1}|^2<|z_{k+2}|^2<\cdots <|z_{n}|^2<1\}, $$ where $z=(z_1, \cdots , z_n)$, $n\geq k+2$ and $k, n\in \mathbb N$. We give a sufficient and necessary condition for the $L^p$-boundedness of the Forelli-Rudin type operators on $H^k_n$. (English) |
| Keyword: | Forelli-Rudin type |
| Keyword: | generalized Hartogs triangle |
| Keyword: | $L^p$-boundedness |
| MSC: | 32A36 |
| MSC: | 47B35 |
| MSC: | 47G10 |
| DOI: | 10.21136/CMJ.2026.0328-25 |
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| Date available: | 2026-03-13T09:33:28Z |
| Last updated: | 2026-03-16 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153571 |
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