Two criterions of Wiener type for minimally thin sets and rarefied sets in a cone

DOI10.2969/JMSJ/1191593906zbMath1026.31006OpenAlexW2013581761MaRDI QIDQ1396371

Hidenobu Yoshida, Ikuko Miyamoto

Publication date: 30 June 2003

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1191593906

zbMATH Keywords

Martin boundaryboundary behaviourthin setsuperharmonic function

Mathematics Subject Classification ID

Martin boundary theory (31C35) Boundary behavior of harmonic functions in higher dimensions (31B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (12)

A new type of minimal thinness with respect to the stationary Schrödinger operator and its applications ⋮ Criteria of Wiener type for minimally thin sets and rarefied sets associated with the stationary Schrödinger operator in a cone ⋮ New criteria for minimal thinness and rarefiedness associated with cylindrical Schrödinger operator and their geometrical properties ⋮ Growth properties of Green-Sch potentials at infinity ⋮ RETRACTED: Poisson-type inequalities for growth properties of positive superharmonic functions ⋮ New applications of Schrödingerean Green potential to boundary behaviors of superharmonic functions ⋮ Asymptotic behaviors of Green-Sch potentials at infinity and its applications ⋮ RETRACTED: Minimally thin sets associated with the stationary Schrödinger operator ⋮ Rarefied sets at infinity associated with the Schrödinger operator ⋮ On Harmonic Majorization of the Martin Function at Infinity in a Cone ⋮ Minimal thinness with respect to symmetric Lévy processes ⋮ RETRACTED: A remark on the Dirichlet problem in a half-plane

This page was built for publication: Two criterions of Wiener type for minimally thin sets and rarefied sets in a cone