Plurisubharmonic and holomorphic functions relative to the plurifine topology

DOI10.1016/j.jmaa.2011.03.041zbMath1222.32057arXiv1011.4472OpenAlexW1808729099MaRDI QIDQ542849

Bent Fuglede, Mohamed El Kadiri, Jan J. O. O. Wiegerinck

Publication date: 20 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4472

zbMATH Keywords

finely holomorphic functionfinely subharmonic functionplurifine topologyplurifinely holomorphic functionplurifinely plurisubharmonic function

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05)

Related Items

Local property of maximal plurifinely plurisubharmonic functions, Monge–Ampère measures of $\mathcal F$-plurisubharmonic functions, Approximation of plurifinely plurisubharmonic functions, The complex Monge-Ampère type equation for \(\mathcal{F}\)-plurisubharmonic functions, Local maximality for bounded plurifinely plurisubharmonic functions, Maximality of plurifinely plurisubharmonic functions, Remarks on weak convergence of complex Monge-Ampère measures, Complex Monge-Ampère equations for plurifinely plurisubharmonic functions, Range of the complex Monge–Ampère operator on plurifinely domain, Vector spaces of delta-plurisubharmonic functions and extensions of the complex Monge-Ampère operator, Maximal plurifinely plurisubharmonic functions, Local property of maximal unbounded plurifinely plurisubharmonic functions, An equality on the complex Monge-Ampère measures, The stability of solutions to the complex Monge-Ampère equations in bounded \(\mathcal{F} \)-hyperconvex domains, Weighted energy classes of plurifinely plurisubharmonic functions, On the approximation of weakly plurifinely plurisubharmonic functions, Plurifinely plurisubharmonic functions and the Monge Ampère operator, The Dirichlet problem for the complex Monge-Ampère operator on strictly plurifinely pseudoconvex domains, Weakly solutions to the complex Monge-Ampère equation on bounded plurifinely hyperconvex domains, Envelope of plurisubharmonic functions in Cegrell's classes, An equality on Monge-Ampère measures, The locally \(\mathcal{F}\)-approximation property of bounded hyperconvex domains

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