Bounded plurisubharmonic functions

The main aim of this note "A characterization of bounded plurisubharmonic functions" is to give some characterizations for boundedness of functions in the class F. These results are strongly motivated by Theorem 3 in [Xi2] where a characterization for boundedness of psh functions bounded near the boundary is given. The main result of the note is the following

6p runordie5 04-07-2022 6 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