On Fatou- and Plessner-type theorems

DOI10.3792/pja/1195520262zbMath0247.30024OpenAlexW2008197479MaRDI QIDQ5659844

Shinji Yamashita

Publication date: 1970

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195520262

Mathematics Subject Classification ID

Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20) Cluster sets, prime ends, boundary behavior (30D40)

Related Items

Complex-Harmonic Meier’s Theorem ⋮ Meyer points and refined Meyer points for arbitrary harmonic functions ⋮ Refinement of the plessner theorem and plessner points for arbitrary harmonic functions ⋮ Some applications of \(P^{\prime}\)-sequences in studying boundary properties of arbitrary harmonic functions

Cites Work

• Unnamed Item
• Über die Randwerte der meromorphen Funktionen
• Cluster sets of algebroid functions
• Quasi-conformal extension of Meier's theorem
• Boundary behaviour of functions harmonic in the unit ball