학술논문

Compactness of composition operators on the Bergman space of bounded pseudoconvex domains in $\mathbb{C}^n$
Document Type
Working Paper
Source
Subject
Mathematics - Complex Variables
47B07
Language
Abstract
We study the compactness of composition operators on the Bergman spaces of certain bounded pseudoconvex domains in $\mathbb{C}^n$ with non-trivial analytic disks contained in the boundary. As a consequence we characterize that compactness of the composition operator with a holomorphic, continuous symbol (up to the closure) on the Bergman space of the polydisk.
Comment: 7 pages