L^q-L^q boundedness of Forelli-Rudin type operators on the unit ball of C^n

L^q-L^q boundedness of Forelli-Rudin type operators on the unit ball of C^n
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C^n 单位球上 Forelli-Rudin 型算子的 L^q-L^q 有界性

DOI:
10.1016/j.jfa.2021.109345
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发表时间:
2021
影响因子:
1.7
通讯作者:
Lifang Zhou
Lifang Zhou
中科院分区:
数学1区
文献类型:
--
作者:
Ruhan Zhao;Lifang Zhou

文献摘要

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We completely characterize L p− L q boundedness of two classes of Forelli-Rudin type operators on the unit ball of C n for all (p, q)∈[1,∞]×[1,∞]. 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.