The local uniform convergence of positive harmonic function sequence

Autor:	Dang Thinh Do, Le Dieu Linh Tran, Nhat Quy Hoang
Rok vydání:	2023
Předmět:	General Earth and Planetary Sciences General Environmental Science
Zdroj:	Hue University Journal of Science: Natural Science. 131:61-65
ISSN:	2615-9678 1859-1388
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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ff02d656ff0de45446b3d6c12c9d299e https://doi.org/10.26459/hueunijns.v131i1d.6663 Zobrazit plný text záznamu