Sweeping at the Martin Boundary of a Fine Domain

被引：0

作者：

Mohamed El Kadiri

Bent Fuglede

机构：

[1] Université Mohammed V,Département de Mathématiques, Faculté des Sciences

[2] Department of Mathematical Sciences,undefined

来源：

Potential Analysis | 2016年 / 44卷

关键词：

Martin boundary; Riesz-Martin kernel; Finely superharmonic function; Finely harmonic function; Sweeping; Minimal thinness; Minimal-fine topology; 31C35; 31C40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study sweeping on a subset of the Riesz-Martin space of a fine domain in ℝn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb {R}^{n}$\end{document} (n≥2), both with respect to the natural topology and the minimal-fine topology, and show that the two notions of sweeping are identical.

引用

页码：401 / 422

页数：21

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