Corrigendum: Conical plurisubharmonic measure and new cross theorems

TL;DR

This paper corrects a previous incomplete proof regarding the boundary behavior of the conical plurisubharmonic measure and applies the corrected theorem to the theory of separately holomorphic functions, making the results more accessible.

Contribution

It provides a corrected proof of a key theorem on conical plurisubharmonic measure and enhances its applications to separately holomorphic functions.

Findings

Corrected proof of boundary behavior theorem for conical plurisubharmonic measure

Improved accessibility of applications to separately holomorphic functions

Strengthened theoretical foundation for boundary analysis in complex analysis

Abstract

In the previous version of this paper we prove a theorem on the boundary behavior of the conical plurisubharmonic measure. However, the proof turns out to be incomplete. In the present version we give a corrected proof of this theorem. We next apply it to the theory of separately holomorphic functions. These applications are presented in a more accessible way than in the previous version.