Compact Composition Operators on the Bloch Space and the Growth Space of the Upper Half-Plane
Compact Composition Operators on the Bloch Space and the Growth Space of the Upper Half-Plane
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DOI：
10.1007/s00009-017-0849-2
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发表时间：
2017-04-01
影响因子：
1.1
通讯作者：
Ueki, Sei-Ichiro
中科院分区：
文献类型：
--
作者：
Sharma, Ajay K.;Ueki, Sei-Ichiro
In this paper, we prove that unlike Hardy and weighted Bergman spaces of the upper half-plane, there are non-trivial analytic self-maps of the upper half-plane that induce compact composition operators on the Bloch space of the upper half-plane. Moreover, we also prove that like Hardy and weighted Bergman spaces of the upper half-plane, the growth space of the upper half-plane does not support compact composition operators.
