Orbits of non-elliptic disc automorphisms

Numerical Ranges of Composition Operators with Elliptic Automorphism Symbols

In this paper we investigate the numerical ranges of composition operators whose symbols are elliptic automorphisms of finite orders, on the Hilbert Hardy space $H^2(D)$.

Essential Spectra of Weighted Composition Operators Induces by Elliptic Automorphisms

The spectrum of a weighted composition operator $C_{ψ, φ}$ 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 $ψ$ is continuous up to the boundary. In this paper we study the spectra and essential spectra of $C_{ψ,φ}$ on weighted Bergman spaces when $φ$ is an elliptic automorphism, without the assumption that $ψ$ is continuous up to the boundary.

复合算子的奇异内本征函数

Singular inner eigenfunctions of composition operators

本文针对单位圆盘自同构φ产生的复合算子C_φ，刻画其源于离散测度的奇异内本征函数，建立Beurling与模型不变子空间的联系完成内函数分类，求解本征函数方程并给出该联系的应用。