Subharmonicity without upper semicontinuity

DOI10.1006/JFAN.1996.3070zbMath0873.31007OpenAlexW2050717044MaRDI QIDQ1363573

Brian J. Cole, Thomas Ransford

Publication date: 4 November 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3070

zbMATH Keywords

subharmonic functionplurisubharmonic functionJensen measure

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05)

Related Items (14)

Balayage of measures with respect to (sub-)harmonic functions ⋮ On the distribution of zero sets of holomorphic functions ⋮ POISSON-JENSEN FORMULAS AND BALAYAGE OF MEASURES ⋮ Preorders on subharmonic functions and measures with applications to the distribution of zeros of holomorphic functions ⋮ Reduced functions and Jensen measures ⋮ Jensen measures in potential theory ⋮ The geometry of \(m\)-hyperconvex domains ⋮ Nearly hyperharmonic functions and Jensen measures ⋮ Extreme Jensen measures ⋮ Infima of superharmonic functions ⋮ Multiply superharmonic functions outside negligible sets ⋮ Subsequences of zeros for classes of holomorphic functions, their stability, and the entropy of arcwise connectedness. I ⋮ Disk envelopes of functions. II ⋮ On quasinearly subharmonic functions

Cites Work

• Subharmonicity for uniform algebras
• A Counterexample to the "Fine" Problem in Pluripotential Theory
• Théorie du potentiel newtonien : énergie, capacité, suites de potentiels
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