On admissible limits of functions of several variables

TL;DR

This paper explores the relationship between limits along normal directions and admissible limits at boundary points for holomorphic functions of multiple complex variables.

Contribution

It establishes a connection between the existence of limits along normal directions and admissible limits at boundary points for these functions.

Findings

Proves the equivalence of certain boundary limit conditions

Provides criteria for the existence of admissible limits

Enhances understanding of boundary behavior in several complex variables

Abstract

The aim of the present article is to establish the connection between the existence of the limit along the normal and an admissible limit at a fixed boundary point for holomorphic functions of several complex variables.