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.

引用

页码：401 / 422

页数：22

共 50 条

[21] Martin boundary associated with a system of PDE [J].

Benyaiche, Allami ;

Ghiate, Salma .

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2006, 47 (03) :399-425

[22] THE MAX-PLUS MARTIN BOUNDARY [J].

Akian, Marianne ;

Gaubert, Stephane ;

Walsh, Cormac .

DOCUMENTA MATHEMATICA, 2009, 14 :195-240

[23] Boundary Harnack Principle and Martin Boundary at Infinity for Subordinate Brownian Motions [J].

Panki Kim ;

Renming Song ;

Zoran Vondraček .

Potential Analysis, 2014, 41 :407-441

[24] Boundary Harnack Principle and Martin Boundary at Infinity for Subordinate Brownian Motions [J].

Kim, Panki ;

Song, Renming ;

Vondracek, Zoran .

POTENTIAL ANALYSIS, 2014, 41 (02) :407-441

[25] INVARIANT MEASURE,RATIO LIMITS AND MARTIN BOUNDARY [J].

Zhao Minzhi Jin MengweiDept of Math Zhejiang Univ Hangzhou China .

Applied Mathematics:A Journal of Chinese Universities, 2002, (04) :465-472

[26] THE MARTIN BOUNDARY OF A FREE PRODUCT OF ABELIAN GROUPS [J].

Dussaule, Matthieu .

ANNALES DE L INSTITUT FOURIER, 2020, 70 (01) :313-373

[27] THE MARTIN BOUNDARY IN NON-LIPSCHITZ DOMAINS [J].

BASS, RF ;

BURDZY, K .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 337 (01) :361-378

[28] Martin boundary and exit space on the Sierpinski gasket [J].

Lau Ka-Sing ;

Ngai Sze-Man .

SCIENCE CHINA-MATHEMATICS, 2012, 55 (03) :475-494

[29] Accessibility, Martin boundary and minimal thinness for Feller processes in metric measure spaces [J].

Kim, Panki ;

Song, Renming ;

Vondracek, Zoran .

REVISTA MATEMATICA IBEROAMERICANA, 2018, 34 (02) :541-592

[30] The Martin boundary of the Young-Fibonacci lattice [J].

Goodman, FM ;

Kerov, SV .

JOURNAL OF ALGEBRAIC COMBINATORICS, 2000, 11 (01) :17-48

← 1 2 3 4 5 →