On the range of \({\mathbb{R}}^2\) or \({\mathbb{R}}^3\)-valued harmonic morphisms

DOI10.1214/aop/1022855420zbMath0933.31006OpenAlexW2091946548MaRDI QIDQ1307080

Frédérique Duheille

Publication date: 23 November 1999

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1022855420

zbMATH Keywords

Brownian motionrangeharmonic morphismPicard's theorem

Mathematics Subject Classification ID

Brownian motion (60J65) Probabilistic potential theory (60J45) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Cites Work

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• Bernstein theorems for harmonic morphisms from \({\mathbb R}\) 3 and S 3
• Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions
• Harmonic morphisms between Riemannian manifolds
• Brownian motions and generalized analytic and inner functions
• Harmonic morphisms from complex projective spaces
• Über Wachstumseigenschaften gewisser Klassen von subharmonischen Funktionen
• Picard's Theorem and Brownian Motion

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