Composition Operators on the Bloch Space of Several Complex Variables |
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| Authors: | Jihuai Shi Luo Luo |
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| Institution: | (1) Department of Mathematics, University of Science and Technology of China, Heifei 230036, P.R. China |
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| Abstract: | Abstract
In this paper, we study the boundedness and compactness of composition operator C
φ on the Bloch space β(Ω), Ω being a bounded homogeneous domain. For Ω = B
n, we give the necessary and sufficient conditions for a composition operator C
φ to be compact on β(B
n) or β
0(B
n).
Supported by the National Natural Science Foundation and the National Education Committee Doctoral
Foundation |
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| Keywords: | Bloch space Composition operator Bergman metric |
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