Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane

被引：3
|
作者：
Stevic, Stevo [1 ]
Sharma, Ajay K. [2 ]
Sharma, S. D. [3 ]
机构：
[1] Serbian Acad Sci, Math Inst, Beograd 11000, Serbia
[2] Shri Mata Vaishno Devi Univ, Sch Math, Kakryal 182320, J & K Katra, India
[3] Univ Jammu, Dept Math, Jammu 180006, India
来源：
ABSTRACT AND APPLIED ANALYSIS | 2011年
关键词：
BLOCH-TYPE SPACES; UNIT BALL; ANALYTIC-FUNCTIONS; HARDY-SPACES; ISOMETRIES;
D O I：
10.1155/2011/989625
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let psi be a holomorphic mapping on the upper half-plane Pi(+) = {z is an element of C : Jz > 0} and phi be a holomorphic self-map of Pi(+). We characterize bounded weighted composition operators acting from the weighted Bergman space to the weighted-type space on the upper half-plane. Under a mild condition on psi, we also characterize the compactness of these operators.
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页数：10
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