2024/02/26 by Chen, Bo-Yong, Fornæss, John Erik, Wu, Jujie
#Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2402.16494
We study the density of functions which are holomorphic in a neighbourhood of the closure Ω of a bounded non-smooth pseudoconvex domain Ω, in the Bergman space H2(Ω,φ) with a plurisubharmonic weight φ. As an application, we show that the Hartogs domain Ωα: = \(z,w) ∈ D× \C: |w|lt; δαD(z) \, αgt;0, where D⊂ ⊂ \C and δD denotes the boundary distance, is Bergman complete if and only if every boundary point of D is non-isolated.