Bounded hyperconvex domains

In the paper "Some properties of Reinhardt domains", the authors establish the equivalence between hyperconvexity of a fat bounded Reinhardt domain and the existence of a Stein neighbourhood basis of its closure. Next, the authors give a necessary and sufficient condition on a bounded Reinhardt domain D so that every holomorphic mapping from the punctured disk ∆∗ into D can be extended holomorphically to a map from ∆ into D.

15p runordie5 04-07-2022 9 2   Download

In this paper "The locally F-approximation property of bounded hyperconvex domains", we study the local property of bounded hyperconvex domains Ω which we can approximate each plurisubharmonic function u ∈ F(Ω) by an increasing sequence of plurisubharmonic functions defined on strictly larger domains.

7p runordie3 27-06-2022 16 2   Download