Projection theorems for hitting probabilities and a theorem of Littlewood

DOI10.1016/0022-1236(84)90061-2zbMath0566.58036OpenAlexW2005815764MaRDI QIDQ1059323

J. C. Taylor, Terence J. Lyons, K. Brenda MacGibbon

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90061-2

zbMATH Keywords

Brownian motionprojection theoremBrownian pathsradial limitsrank one symmetric spaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Diffusion processes and stochastic analysis on manifolds (58J65) Differential geometry of symmetric spaces (53C35) Boundary value problems on manifolds (58J32) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (3)

A variant of Hall's lemma and maximal functions on the unit n-sphere ⋮ Sur la convergence radiale des potentiels associés à l'équation de Helmholtz ⋮ A projection theorem and tangential boundary behavior of potentials

Cites Work

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• Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel
• Projection estimates for harmonic measure
• Finely holomorphic functions
• Fine convergence and parabolic convergence for the Helmholtz equation and the heat equation
• Some classical function theory theorems and their modern versions
• The Martin boundaries of equivalent sheaves
• Conditional brownian motion and the boundary limits of harmonic functions
• Fine Convergence and Admissible Convergence for Symmetric Spaces of Rank One
• Feine Topologie am Martinrand eines Standardprozesses
• Boundary Behavior of Poisson Integrals on Symmetric Spaces

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