Composition Operators on Weighted Bergman Spaces of Polydisk

被引：4
作者：
Saeidikia, Zahra [1 ]
Abkar, Ali [1 ]
机构：
[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin 34149, Iran
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2023年 / 49卷 / 03期
关键词：
Weighted Bergman space; Composition operator; Compact operator; Hilbert-Schmidt operator;
D O I：
10.1007/s41980-023-00775-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study composition operators between the weighted Bergman space of the polydisk and the weighted Bergman space of the unit disk. We find conditions on the symbols to guarantee the boundedness and compactness of the composition operator. We shall also find a necessary and sufficient condition for the composition operator to be Hilbert-Schmidt.
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页数：15
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