A theorem in fine potential theory and applications to finely holomorphic functions

DOI10.1016/0022-1236(80)90025-7zbMath0459.46039OpenAlexW1994398348MaRDI QIDQ1152077

Terence J. Lyons

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90025-7

zbMATH Keywords

fine potential theoryBalayagefinely holomorphic functionsHartog-type theoremKeldych measure

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of measures (46E27) Potentials and capacities on other spaces (31C15) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Generalizations of potential theory (31C99)

Related Items (4)

The Dirichlet problem for \(p\)-minimizers on finely open sets in metric spaces ⋮ Sur les fonctions finement holomorphes ⋮ Analytic capacity and differentiability properties of finely harmonic functions ⋮ Finely harmonic morphisms, Brownian path preserving functions and conformal martingales

Cites Work

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• Finely holomorphic functions
• Potentiel fin et algèbres de fonctions. III
• Finely harmonic mappings and finely holomorphic mappings

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