A Fatou theorem for \(\alpha\)-harmonic functions in Lipschitz domains

DOI10.1007/S00440-005-0431-XzbMath1091.31003OpenAlexW2001265472MaRDI QIDQ2581023

Richard F. Bass, Dahae You

Publication date: 10 January 2006

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-005-0431-x

zbMATH Keywords

Fatou theorem\(\alpha\)-harmonic functionHitting probabilitiesStable processesMaximal functionNontangential convergence

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary theory for Markov processes (60J50) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (3)

Estimates of Poisson kernels for symmetric Lévy processes and their applications ⋮ Existence of tangential limits for \(\alpha\)-harmonic functions on half spaces ⋮ Tangential limits for harmonic functions with respect to \(\phi(\Delta)\): stable and beyond

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