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Differences of Composition Operators on Bloch Type Spaces

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Abstract

In this paper, we study the boundedness, compactness and essential norm of differences of composition operators \(C_{\varphi }-C_{\psi }\) on Bloch type spaces. In particular, we use the Bloch type norm of \(\varphi ^n-\psi ^n\) to characterize these.

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Acknowledgments

The authors thank the referee for useful remarks and comments that led to the improvement of our paper. The authors’ work was partially supported by National Natural Science Foundation of China grant No. 11471143 and by Macao Science and Technology Development Fund grant No. 083/2014/A2.

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Authors and Affiliations

  1. Faculty of Information Technology, Macau University of Science and Technology, Avenida Wai Long, Taipa, Macau

    Yecheng Shi

  2. Institute System Engineering, Macau University of Science and Technology, Avenida Wai Long, Taipa, Macau

    Songxiao Li

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  1. Yecheng Shi
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  2. Songxiao Li
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Correspondence to Songxiao Li.

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Communicated by Dan Volok.

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Shi, Y., Li, S. Differences of Composition Operators on Bloch Type Spaces. Complex Anal. Oper. Theory 11, 227–242 (2017). https://doi.org/10.1007/s11785-016-0595-7

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  • DOI: https://doi.org/10.1007/s11785-016-0595-7

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