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On Volterra composition operators from Bergman-type space to Bloch-type space

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Abstract

Let φ be an analytic self-mapping of D and g an analytic function on D. In this paper we characterize the bounded and compact Volterra composition operators from the Bergman-type space to the Bloch-type space. We also obtain an asymptotical expression of the essential norm of these operators in terms of the symbols g and φ.

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Authors and Affiliations

  1. School of Science, Sichuan University of Science and Engineering, Zigong, 643000, P.R.China

    Zhi Jie Jiang

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  1. Zhi Jie Jiang
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Correspondence to Zhi Jie Jiang.

Additional information

This paper is supported by the Science Foundation of Sichuan Province (Grant number 09ZC115) and the Scientific Research Fund of School of Science SUSE.

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Jiang, Z.J. On Volterra composition operators from Bergman-type space to Bloch-type space. Czech Math J 61, 993–1005 (2011). https://doi.org/10.1007/s10587-011-0042-x

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  • DOI: https://doi.org/10.1007/s10587-011-0042-x

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