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arXiv · 0709.1420

Compact differences of composition operators from Bloch space to bounded holomorphic function space in the Polydisc

Zhong-Shan Fang·Ze-Hua Zhou
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Abstract

Let $ϕ$ and $ψ$ be holomorphic self-maps of the unit polydisc $U^n$ in the $n$-dimensional complex space, and denote by $C_ϕ$ and $C_ψ$ the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators $C_ϕ-C_ψ$ from Bloch space to bounded holomorphic function space in the unit polydisc. Moreover the compactness of the difference is also characterized.

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Zhong-Shan Fang, Ze-Hua Zhou. 2007-09-10. Compact differences of composition operators from Bloch space to bounded holomorphic function space in the Polydisc. https://arxiv.org/abs/0709.1420

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