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Composition operators on Bloch-type spaces

Published online by Cambridge University Press:  12 July 2007

Zhangjian Hu  and
Shushi Wang
Zhangjian Hu
Affiliation:
Department of Mathematics, Huzhou Teachers' College, Huzhou, Zhejiang 313000, People's Republic of China (huzj@mail.huptt.zj.cn)
Shushi Wang
Affiliation:
Department of Mathematics, Huzhou Teachers' College, Huzhou, Zhejiang 313000, People's Republic of China (huzj@mail.huptt.zj.cn)
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Abstract

We characterize those holomorphic symbols ϕ: D → D for which the induced composition operator Cϕ: Bω → Bμ (respectively, Bω,0 → Bμ,0) is bounded or compact, where D is the unit disc in the complex plane C, ω is a normal function on [0, 1) and μ is a non-negative function on [0, 1) with μ(tn) > 0 for some sequence satisfying limn→∞tn= 1.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 6 , December 2005 , pp. 1229 - 1239
Copyright
Copyright © Royal Society of Edinburgh 2005

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