On the behavior at infinity of non-negative superharmonic functions in a half space

zbMath0468.31002MaRDI QIDQ1156271

Hiroaki Aikawa

Publication date: 1981

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Green functionhalf spacenon-negative Radon measuresthinnessminimally thin setsnon-negative superharmonic functionrarefiedness

Mathematics Subject Classification ID

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

Related Items (5)

Asymptotic behavior for a class of modified \(\alpha \)-potentials in a half space ⋮ Criteria of Wiener type for minimally thin sets and rarefied sets associated with the stationary Schrödinger operator in a cone ⋮ Modified Poisson integral and Green potential on a half-space ⋮ Asymptotic behaviors of Green-Sch potentials at infinity and its applications ⋮ Growth estimates for modified Green potentials in the upper-half space

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