2001/08/06 by Friedrich Haslinger, Haslinger, Friedrich
Mathematics · #30D15 #32A36 #32W05 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV #math.FA #msc:30D15 #msc:32A36 #msc:32W05
paper · pdf · doi:10.48550/arxiv.math/0108039
16 pages
arxiv created 2001/08/06 · openalex publication_date 2001/08/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we obtain a necessary and sufficient condition for the canonical solution operator to ∂ restricted to radial symmetric Bergman spaces to be a Hilbert-Schmidt operator. We also discuss compactness of the solution operator in spaces of entire functions in one variable. In the sequel we consider several examples and also treat the case of weighted spaces of entire functions in several variables.