The pluri-fine topology is locally connected

DOI10.1007/S11118-006-9017-1zbMath1109.32026arXivmath/0512241OpenAlexW2097659872MaRDI QIDQ854738

Jan J. O. O. Wiegerinck, Said El Marzguioui

Publication date: 6 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0512241

zbMATH Keywords

plurisubharmonic functionsplurifine topology

Mathematics Subject Classification ID

Fine potential theory; fine properties of sets and functions (31C40) General pluripotential theory (32U15)

Related Items (8)

Local maximality for bounded plurifinely plurisubharmonic functions ⋮ Remarks on weak convergence of complex Monge-Ampère measures ⋮ Maximal plurifinely plurisubharmonic functions ⋮ An equality on the complex Monge-Ampère measures ⋮ Plurisubharmonic and holomorphic functions relative to the plurifine topology ⋮ Plurifinely plurisubharmonic functions and the Monge Ampère operator ⋮ Domains of existence for finely holomorphic functions ⋮ An equality on Monge-Ampère measures

Cites Work

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• Connexion en topologie fine et balayage des mesures. (Connection on fine topology and balayage of measures.)
• On topologies and boundaries in potential theory. Enlarged ed. of a course of lectures delivered in 1966
• Finely harmonic functions
• Les fonctions plurisousharmoniques

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