Existence of tangential limits for \(\alpha\)-harmonic functions on half spaces

DOI10.1007/S11118-005-9004-YzbMath1101.31005OpenAlexW1997575319MaRDI QIDQ2502244

Yoshihiro Mizuta

Publication date: 12 September 2006

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: http://ir.lib.hiroshima-u.ac.jp/00015020

zbMATH Keywords

tangential limitsalpha-harmonic function

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (3)

Estimates of Poisson kernels for symmetric Lévy processes and their applications ⋮ Boundary behavior of superharmonic functions satisfying nonlinear inequalities in uniform domains ⋮ Tangential limits for harmonic functions with respect to \(\phi(\Delta)\): stable and beyond

Cites Work

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