$L^p-L^q$ boundedness of Forelli-Rudin type operators on the unit ball of $\mathbb{C}^n$
| Autor: | Zhao, Ruhan, Zhou, Lifang |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Journal of Functional Analysis, 282 (2022), 109345 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jfa.2021.109345 |
| Popis: | 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. Comment: 20 pages; 1 figure |
| Databáze: | arXiv |
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