On the covering properties of certain exceptional sets in a half-space

zbMath0447.31003MaRDI QIDQ1146297

Matts Essén, Howard Lawrence Jackson

Publication date: 1980

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

zbMATH Keywords

coveringscapacitiesgeneralized Wiener conditionsminimally thin and rarefied sets in half-spaces

Mathematics Subject Classification ID

Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (14)

A new type of minimal thinness with respect to the stationary Schrödinger operator and its applications ⋮ On a Problem of Doob About the Fine Topology and Normal Functions ⋮ A Difference between Minimal and Ordinary Fine Topology in Function Theory ⋮ 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 ⋮ New criteria for minimal thinness and rarefiedness associated with cylindrical Schrödinger operator and their geometrical properties ⋮ Explicit solutions of the Dirichlet-Schrödinger problem via the new cylindrical Poisson-Schrödinger kernel method ⋮ Exceptional sets in asymptotic estimates of subharmonic functions ⋮ Fine topology and estimates for potentials and subharmonic functions ⋮ Modified Poisson integral and Green potential on a half-space ⋮ Asymptotic behaviors of Green-Sch potentials at infinity and its applications ⋮ Some characterizations of minimally thin sets in a cylinder and Beurling-Dahlberg-Sjögren type theorems ⋮ Growth estimates for modified Green potentials in the upper-half space ⋮ Minimal Thinness and the Beurling Minimum Principle

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