POLYNOMIAL DIFFERENTIATION COMPOSITION OPERATORS FROM WEIGHTED BERGMAN SPACES TO WEIGHTED-TYPE SPACES ON THE UNIT BALL

被引:0
|
作者
Stevic, Stevo [1 ,2 ]
机构
[1] Serbian Acad Sci, Math Inst, Knez Mihailova 36-3, Beograd 11000, Serbia
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
来源
关键词
Holomorphic functions; Polynomial differentiation composition operator; Product-type op-erator; Weighted Bergman space; Weighted-type space; Compact operator; AREA NEVANLINNA SPACES; MIXED-NORM SPACES; PRODUCTS; MULTIPLICATION;
D O I
10.23952/jnva.7.2023.3.05
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce a polynomial differentiation composition operator on spaces of holomorphic functions on the open unit ball in the n-dimensional complex vector space, and characterize the bound-edness and compactness of the operator from the classical weighted Bergman space to the weighted-type space and the little weighted-type space of holomorphic functions on the unit ball.
引用
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页码:397 / 407
页数:11
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