Martin boundary of a fine domain and a Fatou-Naïm-Doob theorem for finely superharmonic functions

DOI10.1007/s11118-015-9495-0zbMath1338.31016arXiv1403.0857OpenAlexW1603662757MaRDI QIDQ5962754

Mohamed El Kadiri, Bent Fuglede

Publication date: 23 February 2016

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

Full work available at URL: https://arxiv.org/abs/1403.0857

zbMATH Keywords

Martin boundaryfine potential theory

Mathematics Subject Classification ID

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

Related Items (5)

Geometry, dynamics and spectrum of operators on discrete spaces. Abstracts from the workshop held January 3--9, 2021 (online meeting) ⋮ The Dirichlet problem at the Martin boundary of a fine domain ⋮ Maximal plurifinely plurisubharmonic functions ⋮ On the integral representation of finely superharmonic functions ⋮ Sweeping at the Martin boundary of a fine domain

Cites Work

• Sweeping at the Martin boundary of a fine domain
• Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel
• Quasi-continuous functions and Hunt processes
• Integral representation of fine potentials
• Cones of lower semicontinuous functions and a characterisation of finely hyperharmonic functions
• Autodual H-cones
• Localization in fine potential theory and uniform approximation by subharmonic functions
• Sur la fonction de Green pour un domaine fin
• On the Riesz decomposition and the integral representation of finely superharmonic functions
• Remarks on fine continuity and the base operation in potential theory
• Représentation intégrale des fonctions surharmoniques au moyen des réduites
• Extreme harmonic functions and boundary value problems
• The Dirichlet problem at the Martin boundary of a fine domain
• Finely harmonic functions
• The Riesz decomposition of finely superharmonic functions
• ON THE TIGHTNESS OF CAPACITIES ASSOCIATED WITH SUB-MARKOVIAN RESOLVENTS
• Quasi-Continuous Functions Associated with a Hunt Process
• Finely harmonic mappings and finely holomorphic mappings
• Applications to analysis of a topological definition of smallness of a set
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Martin boundary of a fine domain and a Fatou-Naïm-Doob theorem for finely superharmonic functions