Sweeping at the Martin boundary of a fine domain

DOI10.1007/s11118-015-9518-xzbMath1338.31017arXiv1409.7098OpenAlexW1464361297MaRDI QIDQ259220

Bent Fuglede, Mohamed El Kadiri

Publication date: 11 March 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7098

zbMATH Keywords

Martin boundaryfine potential theoryminimal fine topology

Mathematics Subject Classification ID

Martin boundary theory (31C35) Fine potential theory; fine properties of sets and functions (31C40)

Related Items (3)

The Dirichlet problem at the Martin boundary of a fine domain ⋮ Martin boundary of a fine domain and a Fatou-Naïm-Doob theorem for finely superharmonic functions ⋮ On the integral representation of finely superharmonic functions

Cites Work

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• Order and convexity in potential theory: H-cones. In collab. with Herbert Höllein
• Integral representation of fine potentials
• Sur la fonction de Green pour un domaine fin
• On the Riesz decomposition and the integral representation of finely superharmonic functions
• The Dirichlet problem at the Martin boundary of a fine domain
• Finely harmonic functions
• The Riesz decomposition of finely superharmonic functions
• Martin boundary of a fine domain and a Fatou-Naïm-Doob theorem for finely superharmonic functions

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