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We study the density of functions which are holomorphic in a neighbourhood of the closure of a bounded non-smooth pseudoconvex domain, in the Bergman space H² (, ) with a plurisubharmonic weight. As an application, we show that the Hartogs domain _: = \{ (z, w) D: |w|0, where D and D denotes the boundary distance, is Bergman complete if and only if every boundary point of D is non-isolated.
Chen et al. (Mon,) studied this question.
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