椭圆自同构诱导的加权复合算子的本质谱
Essential Spectra of Weighted Composition Operators Induces by Elliptic Automorphisms
摘要：
由自同构诱导的加权复合算子$C_{ψ, φ}$的谱已经研究了50多年。然而，许多结果都是在权函数$ψ$在边界上连续的条件下得到的。本文研究了加权Bergman空间上的$C_{ψ,φ}$的谱和本质谱，当$φ$是椭圆自同构时，不假定$ψ$在边界上连续.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
