Harmonic Majorizations in Half-Balls and Half-Spaces

DOI10.1112/PLMS/S3-21.4.614zbMath0207.41603OpenAlexW2077066794MaRDI QIDQ5608294

Ülkü Kuran

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1112/plms/s3-21.4.614

Mathematics Subject Classification ID

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

Related Items (11)

Separation of points by classes of harmonic functions ⋮ A weighted hyperplane mean associated with harmonic majorization in half-spaces ⋮ Mean values of positive superharmonic functions on half-spaces ⋮ Angular limits of holomorphic functions which satisfy an integrability condition ⋮ The Neumann problem for a function harmonic in Rsup(n) x (0,infinity) ⋮ Uniqueness and representation theorems for the inhomogeneous heat equation ⋮ Cylindrical Carleman's formula of subharmonic functions and its application ⋮ Mean values of superharmonic functions on half‐spaces ⋮ Some Phragmén-Lindelöf and harmonic majorization theorems for subharmonic functions ⋮ Hyperplane mean values of strongly subharmonic functions ⋮ Notes on the results of lower bounds for a class of harmonic functions in the half space

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