Refinement of the plessner theorem and plessner points for arbitrary harmonic functions

DOI10.3103/S0027132217040064zbMath1388.31002OpenAlexW2752938023MaRDI QIDQ1709449

Samvel L. Berberyan

Publication date: 5 April 2018

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132217040064

zbMATH Keywords

boundary behaviorharmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Cites Work

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• Boundedness of normal harmonic functions
• Some applications of \(P^{\prime}\)-sequences in studying boundary properties of arbitrary harmonic functions
• The distribution of values of harmonic functions in the unit disk
• On Fatou- and Plessner-type theorems

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