A weighted hyperplane mean associated with harmonic majorization in half-spaces

DOI10.1017/S0013091500017430zbMath0594.31012MaRDI QIDQ3724673

David H. Armitage

Publication date: 1986

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

zbMATH Keywords

Poisson integralsubharmonic functionsharmonic majorantweighted hyperplane means

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Cites Work

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• Über positive harmonische Funktionen in einem Halbraum
• On Hyperplane Mean Values of Subharmonic Functions
• A Limit Function Associated with Harmonic Majorization on Half-Spaces
• On Half-Spherical Means of Subharmonic Functions in Half-Spaces
• Harmonic Majorizations in Half-Balls and Half-Spaces
• On the Rate of Growth of Mean Values of Holomorphic and Harmonic Functions
• The Poisson Integral and Harmonic Majorization in R ⁿ ×0, 1[]
• A Criterion of Harmonic Majorization in Half-Spaces
• On Least Harmonic Majorants in Half-Spaces
• Positive Harmonic Majorization of Subharmonic Functions in Strips

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