Hankel Operators on the Bergman spaces of Reinhardt Domains and\n Foliations of Analytic Disks

2018/10/29 by Timothy G. Clos, Clos, Timothy G.
Mathematics · #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1810.12393

openalex publication_date 2018/10/29 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28

Abstract

Let \Ω\⊂ \ℂ² be a bounded pseudoconvex complete Reinhardt\ndomain with a smooth boundary. We study the behavior of analytic structure in\nthe boundary of \Ω and obtain a compactness result for Hankel operators\non the Bergman space of \Ω.\n

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