论文标题
加权构图操作员的基本光谱通过椭圆形自动形态引起
Essential Spectra of Weighted Composition Operators Induces by Elliptic Automorphisms
论文作者
论文摘要
由自动形态引起的加权成分运算符$ c_ {ψ，φ} $的频谱已经进行了五十多年的研究。但是，许多结果仅在权重函数$ψ$连续到边界的条件下得到。在本文中，我们研究了加权伯格曼空间的$ c_ {ψ，φ} $的光谱和必需光谱，而$φ$是一种椭圆形的自动形态，而没有假设$ψ$是连续到边界的。
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.
