Traces of harmonic functions, capacities, and traces of symmetric Markov processes

DOI10.1007/BF01051874zbMath0683.60053OpenAlexW2045103834MaRDI QIDQ1824943

Torbjoern Kolsrud

Publication date: 1989

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01051874

zbMATH Keywords

Poisson integralDirichlet formmonotonicity conditionsexistence of the boundary values of harmonic functionstrace of harmonic function

Mathematics Subject Classification ID

Probabilistic potential theory (60J45)

Related Items (5)

Harmonic extension technique for non-symmetric operators with completely monotone kernels ⋮ Kato–Ponce estimates for fractional sublaplacians in the Heisenberg group ⋮ Boundary traces of shift-invariant diffusions in half-plane ⋮ Gaussian random fields, infinite dimensional Ornstein-Uhlenbeck processes, and symmetric Markov processes ⋮ Fractional thoughts

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gaussian random fields, infinite dimensional Ornstein-Uhlenbeck processes, and symmetric Markov processes
• A stochastic approach to quasi-everywhere boundary convergence of harmonic functions
• Fine potential theory in Dirichlet spaces
• Symmetric Markov processes
• Ensembles exceptionnels
• Les espaces du type de Beppo Levi
• Capacitary integrals in Drichlet spaces.
• Application of the Sector Condition to the Classification of Submarkovian Semigroups
• On the closability of Dirichlet forms
• Symmetric Stable Processes as Traces of Degenerate Diffusion Processes

This page was built for publication: Traces of harmonic functions, capacities, and traces of symmetric Markov processes