WEIGHTED COMPOSITION OPERATORS BETWEEN GROWTH SPACES OF THE UPPER HALF-PLANE

被引：0
|
作者：
Stevic, Stevo [1 ]
Sharma, Ajay K. [2 ]
机构：
[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia
[2] Shri Mata Vaishno Devi Univ, Sch Math, Katra 182320, Jammu & Kashmir, India
来源：
UTILITAS MATHEMATICA | 2011年 / 84卷
关键词：
Weighted composition operator; growth space; boundedness; compactness; upper half-plane; BLOCH-TYPE SPACES; GENERALIZED COMPOSITION OPERATORS; UNIT BALL; ANALYTIC-FUNCTIONS; H-INFINITY; BERGMAN SPACES; BANACH-SPACES; HARDY-SPACES; NORM; ISOMETRIES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let psi be a holomorphic map of the upper half-plane Pi(+) and phi be a holomorphic self-map of Pi(+). We characterize bounded weighted composition operators acting between growth spaces of the upper half-plane. Under some conditions on phi and psi, we also characterize compact weighted composition operators between growth spaces of the upper half-plane.
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页码：265 / 272
页数：8
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