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arXiv · 2011.14606

Essential Spectra of Weighted Composition Operators Induces by Elliptic Automorphisms

Xing-Tang Dong·Yong-Xin Gao·Ze-Hua Zhou
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Abstract

The spectrum of a weighted composition operator $C_{\psi, \varphi}$ who is induced by an automorphism has been investigated for over fifty years. However, many results are got only under the condition that the weight function $\psi$ is continuous up to the boundary. In this paper we study the spectra and essential spectra of $C_{\psi,\varphi}$ on weighted Bergman spaces when $\varphi$ is an elliptic automorphism, without the assumption that $\psi$ is continuous up to the boundary.

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Xing-Tang Dong, Yong-Xin Gao, Ze-Hua Zhou. 2020-11-30. Essential Spectra of Weighted Composition Operators Induces by Elliptic Automorphisms. https://arxiv.org/abs/2011.14606

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