Representation and Growth of Subharmonic Functions in Half-Spaces

DOI10.1112/PLMS/S3-48.2.300zbMath0506.31002OpenAlexW2027733531MaRDI QIDQ4743068

Stephen J. Gardiner

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1112/plms/s3-48.2.300

zbMATH Keywords

weighted hyperplane meansrepresentation theorem of Hadamardsubharmonic functions in half-spaces

Mathematics Subject Classification ID

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

Related Items (4)

Growth description of pth means of the Green potential in the unit ball ⋮ Fine limits of superharmonic functions ⋮ Asymptotic behaviour of \(p\) th means of analytic and subharmonic functions in the unit disc and angular distribution of zeros ⋮ On asymptotic behavior of the \(p\)th means of the Green potential for \(0<p\leq 1\)

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