GENERALIZED WEIGHTED COMPOSITION OPERATORS BETWEEN THE WEIGHTED BERGMAN SPACES

被引：0
|
作者：
Vasebi, Fereshteh [1 ]
Vaezi, Hamid [1 ,2 ]
机构：
[1] Islamic Azad Univ, Sarab Branch, Dept Math, Sarab, Iran
[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran
来源：
MATHEMATICAL REPORTS | 2022年 / 24卷 / 04期
关键词：
generalized weighted composition operator; weighted Bergman space; essential norm; BLOCH-TYPE; DIFFERENTIATION; PRODUCTS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let phi and u be analytic maps on the open unit disc D such that phi (D) subset of D and H (D) be the spaces of analytic functions on D. For a non-negative integer n, the generalized weighted composition operator D-phi,u(n) is defined by D-phi,u(n) f = u center dot (f ((n)) o phi), f is an element of H (D). In this paper, we characterize the boundedness of the generalized weighted composition operator D-phi,u(n) between the weighted Bergman spaces. We also compute the upper and lower bounds for the essential norm of this operator.
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页码：739 / 749
页数：11
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