2020/06/11 by Timothy G. Clos, Clos, Timothy G.
Mathematics · #47B07 #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.2006.06498
openalex publication_date 2020/06/11 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
We study the compactness of composition operators on the Bergman spaces of\ncertain bounded pseudoconvex domains in \ℂn with non-trivial\nanalytic disks contained in the boundary. As a consequence we characterize that\ncompactness of the composition operator with a holomorphic, continuous symbol\n(up to the closure) on the Bergman space of the polydisk.\n