Plurisubharmonicity of envelopes of disc functionals on manifolds

DOI10.1515/crll.2003.013zbMath1023.32019arXivmath/0111251OpenAlexW2963473541MaRDI QIDQ4793831

Finnur Lárusson, Ragnar Sigurdsson

Publication date: 16 February 2003

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111251

zbMATH Keywords

Poisson functioncomplex manifoldRiesz functionalLelong functionaldisc functionals

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Complex manifolds (32Q99) Plurisubharmonic functions and generalizations (32U05) Lelong numbers (32U25) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (9)

The minimum principle on the sequential complete local convex spaces ⋮ The Dirichlet problem for the complex homogeneous Monge-Ampère equation ⋮ Pluricomplex Green functions on manifolds ⋮ Minimal surfaces in minimally convex domains ⋮ Extremal \(\omega \)-plurisubharmonic functions as~envelopes of disc functionals ⋮ Green functions with analytic singularities ⋮ Relative extremal functions and characterization of pluripolar sets in complex manifolds ⋮ Minimal hulls of compact sets in $\mathbb {R}^3$ ⋮ A disc formula for plurisubharmonic subextensions in manifolds

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