Uniqueness Theorems for Subharmonic Functions in Unbounded Domains

DOI10.2307/2046342zbMath0622.31003OpenAlexW4243712078MaRDI QIDQ3759127

Stephen J. Gardiner

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046342

zbMATH Keywords

Martin boundaryharmonic measuresubharmonicGreen domainpositive harmonichypoharmonic functionsh- resolutivityh-harmonic measure

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Martin boundary theory (31C35)

Cites Work

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• Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• On topologies and boundaries in potential theory. Enlarged ed. of a course of lectures delivered in 1966
• A Phragmén-Lindelöf Theorem for Subharmonic Functions
• Harmonic majorization of subharmonic functions in unbounded domains
• A Strong Type of Regularity for the PWB Solution of the Dirichlet Problem
• On Half-Spherical Means of Subharmonic Functions in Half-Spaces
• The Martin Boundary of R^N ×0,1[]
• Positive Harmonic Majorization of Subharmonic Functions in Strips
• Subharmonic functions in strips

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