Finely harmonic morphisms, Brownian path preserving functions and conformal martingales

DOI10.1007/BF01403096zbMath0537.60083MaRDI QIDQ792709

Bernt Øksendal

Publication date: 1984

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143094

zbMATH Keywords

fine topologyharmonic morphismsremovable singularitiesharmonic spaceconformal martingale

Mathematics Subject Classification ID

Brownian motion (60J65) Probabilistic potential theory (60J45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random measures (60G57)

Related Items (2)

Finely holomorphic functions and finely harmonic morphisms ⋮ A stochastic characterization of harmonic morphisms

Cites Work

• Conformal martingales
• Analytic capacity and differentiability properties of finely harmonic functions
• Sur les fonctions finement holomorphes
• Finely holomorphic functions
• A theorem in fine potential theory and applications to finely holomorphic functions
• Stochastic harmonic morphisms: Functions mapping the paths of one diffusion into the paths of another
• Différentiabilite des fonctions finement harmoniques
• Brownian motions and generalized analytic and inner functions
• Fonctions harmoniques et fonctions finement harmoniques
• Finely harmonic functions
• A stochastic proof of an extension of a theorem of Rado
• Finely harmonic mappings and finely holomorphic mappings
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Finely harmonic morphisms, Brownian path preserving functions and conformal martingales