Some Phragmén-Lindelöf and harmonic majorization theorems for subharmonic functions

DOI10.1016/0022-247X(84)90210-5zbMath0552.31002OpenAlexW2069825088MaRDI QIDQ801440

Stephen J. Gardiner, David H. Armitage

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(84)90210-5

zbMATH Keywords

Dirichlet problemMartin boundaryharmonic measurePhragmén-Lindelöf theoremsubharmonic functionharmonic majorantsmethods of Perron-Wiener-Brelot

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Cites Work

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• A Strong Type of Regularity for the PWB Solution of the Dirichlet Problem
• Remarks on Carleman’s Formula for Functions in a Half-Plane
• On Half-Spherical Means of Subharmonic Functions in Half-Spaces
• Positive Harmonic Functions on Lipschitz Domains
• Harmonic Majorizations in Half-Balls and Half-Spaces
• Mean Value and Phragmén-Lindelöf Theorems for Subharmonic Functions in Strips
• A boundary harnack principle for lipschitz domains and the principle of positive singularities
• Positive Harmonic Majorization of Subharmonic Functions in Strips
• Theorems concerning functions subharmonic in a strip

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