Essential norms of composition operators between Bloch type spaces in the polydisk |
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Authors: | Zhong-Shan Fang Ze-Hua Zhou |
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Institution: | 1. Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, People’s Republic of China 2. Department of Mathematics, Tianjin University, Tianjin, 300072, People’s Republic of China
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Abstract: | In 2010, Ruhan Zhao obtained the essential norms of composition operators between Bloch type spaces in the disk by the nth power of the induced analytic function. This paper will generalize Zhao’s results to the polydisk. Unlike the case of the composition operators on the unit disk, the essential norms are different for the cases ${p \in (0,1)}$ and p ≥ 1. |
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