On the Harnack distance
Complex Variables
2021-10-01 v1
Abstract
In this note, we consider two types of estimates for the Harnack distance in bounded domains of a finite-dimensional Euclidean space. The first type is based on the geometric concept of the entropy of arcwise connectedness. We used this concept earlier to study zero sets of holomorphic functions in weighted classes of holomorphic functions. The second type is based on the concept of separatedness for subsets in domain, which is introduced in this note. The latter concept, generally speaking, can be more subtle.
Cite
@article{arxiv.2109.15184,
title = {On the Harnack distance},
author = {B. N. Khabibullin},
journal= {arXiv preprint arXiv:2109.15184},
year = {2021}
}
Comments
7 pages, in Russian