Approximation of plurisubharmonic

In the note "Weak Runge pairs in \({C^n}\)", the authors give a characterization for a pair of pseudoconvex domains in \({C^n}\), (D', D), D' \( \subset \) D such that holomorphic functions on D' can be approximated uniformly on compact sets by meromorphic function on D. Explicit examples are also given.

8p runordie5 04-07-2022 8 2   Download

The aim of the paper "Monge–Ampère measures of maximal subextensions of plurisubharmonic functions with given boundary values" is to investigate the Monge–Ampère measures of maximal subextensions of plurisubharmonic functions with given boundary values. As an application, we study the approximation of negative plurisubharmonic function with given boundary values by an increasing sequence of plurisubharmonic functions defined in larger domains.

9p runordie3 27-06-2022 15 3   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