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Composition Operators on the Bloch Space of Several Complex Variables

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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).

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Science and Technology of China, Heifei 230036, P.R. China

    Jihuai Shi & Luo Luo

Authors
  1. Jihuai Shi
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  2. Luo Luo
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Corresponding author

Correspondence to Jihuai Shi.

Additional information

Supported by the National Natural Science Foundation and the National Education Committee Doctoral Foundation

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Shi, J., Luo, L. Composition Operators on the Bloch Space of Several Complex Variables. Acta Math Sinica 16, 85–98 (2000). https://doi.org/10.1007/s101149900028

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  • DOI: https://doi.org/10.1007/s101149900028

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