The local uniform convergence of positive harmonic function sequence

Autor:	Dang Thinh Do, Le Dieu Linh Tran, Nhat Quy Hoang
Jazyk:	English<br />Vietnamese
Rok vydání:	2023
Předmět:	harmonic function harnack distance local uniform convergence Science Science (General) Q1-390
Zdroj:	Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, Vol 131, Iss 1D (2023)
Druh dokumentu:	article
ISSN:	1859-1388 2615-9678
DOI:	10.26459/hueunijns.v131i1D.6663
Popis:	The Harnack distance on space and its conformal invariance were constructed and studied by Herron. In this paper, we obtain the Harnack distance on domains in . Then, we use this concept to investigate some properties of the positive harmonic function class. These results are obtained in the complex plane, so it is advantageous to take some tools of the complex analysis. The main result of this paper is the property of the local uniform convergence of the positive harmonic sequences on a domain in the complex plane.
Databáze:	Directory of Open Access Journals
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