Extreme harmonic functions on a ball

DOI10.1016/S0723-0869(04)80004-5zbMath1048.31003OpenAlexW2043714972MaRDI QIDQ1429129

Ivan Netuka, Jaroslav Lukeš

Publication date: 30 March 2004

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0723-0869(04)80004-5

zbMATH Keywords

extreme pointsharmonic functionsKrein-Milman theoremPoisson kernelRiesz-Herglotz theorem

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Convex sets in topological linear spaces; Choquet theory (46A55) Special classes of linear operators (47B99) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• Univalent functions. Selected topics
• The Geometry of Harmonic Functions
• Notions of convexity
• The extreme points of a class of functions with positive real part
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