$L^p-L^q$ boundedness of Forelli-Rudin type operators on the unit ball of $\mathbb{C}^n$
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916155749302272 |
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| author | Zhao, Ruhan Zhou, Lifang |
| author_facet | Zhao, Ruhan Zhou, Lifang |
| contents | We completely characterize $L^p-L^q$ boundedness of two classes of Forelli-Rudin type operators on the unit ball of $\mathbb{C}^n$ for all $(p, q)\in [1, \infty]\times [1, \infty]$. The results are not only a complement to some previous results on Forelli-Rudin type operators by Kures and Zhu in 2006 and the first author in 2015, but also a high dimension extension of some results by Cheng, Fang, Wang and Yu in 2017. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06413 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $L^p-L^q$ boundedness of Forelli-Rudin type operators on the unit ball of $\mathbb{C}^n$ Zhao, Ruhan Zhou, Lifang Functional Analysis Complex Variables 47G10, 47B38 (Primary) 32A25, 47B34 (Secondary) We completely characterize $L^p-L^q$ boundedness of two classes of Forelli-Rudin type operators on the unit ball of $\mathbb{C}^n$ for all $(p, q)\in [1, \infty]\times [1, \infty]$. The results are not only a complement to some previous results on Forelli-Rudin type operators by Kures and Zhu in 2006 and the first author in 2015, but also a high dimension extension of some results by Cheng, Fang, Wang and Yu in 2017. |
| title | $L^p-L^q$ boundedness of Forelli-Rudin type operators on the unit ball of $\mathbb{C}^n$ |
| topic | Functional Analysis Complex Variables 47G10, 47B38 (Primary) 32A25, 47B34 (Secondary) |
| url | https://arxiv.org/abs/2403.06413 |