A new setting for potential theory. I

DOI10.5802/aif.797zbMath0424.31004OpenAlexW1976237903MaRDI QIDQ1134867

Kai Lai Chung, Murali Rao

Publication date: 1980

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1980__30_3_167_0

zbMATH Keywords

decompositionuniquenesstransient Hunt processpotential densityequilibrium principlenew setting for potential theory

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (11)

Green function estimates for second order elliptic operators in non-divergence form with Dini continuous coefficients ⋮ Minimal subharmonic functions and related integral representations ⋮ Intrinsic ultracontractivity of nonsymmetric diffusions with measure-valued drifts and potentials ⋮ Boundary Harnack principle for Brownian motions with measure-valued drifts in bounded Lipschitz domains ⋮ Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation ⋮ On dual processes of non-symmetric diffusions with measure-valued drifts ⋮ Coulomb systems on Riemannian manifolds and stability of matter ⋮ General Gauge Theorem for Multiplicative Functionals ⋮ Excessiveness of harmonic functions for certain diffusions ⋮ A Riesz decomposition theorem ⋮ On a theorem of Cartan

Cites Work

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• Markoff processes and potentials. I, II, III
• Processus de Markov: la frontière de Martin
• Séminaire de probabilités. V. Université de Strasbourg
• Probabilistic approach to the equilibrium problem in potential theory
• Excessive Functions as Potentials of Measures

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