Sweeping at the Martin Boundary of a Fine Domain

被引：2
|
作者：
El Kadiri, Mohamed [1 ]
Fuglede, Bent [2 ]
机构：
[1] Univ Mohammed 5, Fac Sci, Dept Math, BP 1014, Rabat, Morocco
[2] Dept Math Sci, Univ Pk 5, DK-2100 Copenhagen, Denmark
来源：
POTENTIAL ANALYSIS | 2016年 / 44卷 / 02期
关键词：
Martin boundary; Riesz-Martin kernel; Finely superharmonic function; Finely harmonic function; Sweeping; Minimal thinness; Minimal-fine topology; INTEGRAL-REPRESENTATION; RIESZ-DECOMPOSITION;
D O I：
10.1007/s11118-015-9518-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study sweeping on a subset of the Riesz-Martin space of a fine domain in (na parts per thousand yen2), both with respect to the natural topology and the minimal-fine topology, and show that the two notions of sweeping are identical.
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页码：401 / 422
页数：22
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