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New Characterizations of the Weighted Composition Operators Between Bloch Type Spaces in the Polydisk

  • Zhong-Shan Fang (a1) and Ze-Hua Zhou (a2)

Abstract

We give some new characterizations for compactness of weighted composition operators $u{{C}_{\varphi }}$ acting on Bloch-type spaces in terms of the power of the components of $\varphi$ , where $\varphi$ is a holomorphic self-map of the polydisk ${{\mathbb{D}}^{n}}$ , thus generalizing the results obtained by Hyvärinen and Lindström in 2012.

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References

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New Characterizations of the Weighted Composition Operators Between Bloch Type Spaces in the Polydisk

  • Zhong-Shan Fang (a1) and Ze-Hua Zhou (a2)

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