Weighted Composition-differentiation Operators on the Bergman Space

被引：6
|
作者：
Han, Kaikai [1 ]
Wang, Maofa [2 ]
机构：
[1] Hebei Univ Econ & Business, Sch Math & Stat, Shijiazhuang 050061, Hebei, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2021年 / 15卷 / 05期
关键词：
Weighted composition-differentiation operator; Bergman space; Complex symmetry; Invariant subspace; Spectrum; SYMMETRIC COMPOSITION OPERATORS; COMPLEX SYMMETRY; PRODUCTS;
D O I：
10.1007/s11785-021-01116-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study weighted composition-differentiation operators of the form D-n,D-phi,D-psi on the Bergman space A(2). We obtain explicit conditions for D-n,D-phi,D-psi when it is complex symmetric with respect to conjugations C-1 and C-2 respectively. In addition, invariant subspaces of composition-differentiation operators are considered. Finally, we give spectral properties of weighted composition-differentiation operators.
引用
收藏
页数：17
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