On Fatou's and Beurling's theorems

DOI10.14492/HOKMJ/1381757804zbMath0539.30031OpenAlexW2120833845MaRDI QIDQ793865

Zenjiro Kuramochi

Publication date: 1982

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381757804

zbMATH Keywords

Martin boundaryFatou theoremBeurling theoremKuramochi boundary

Mathematics Subject Classification ID

Ideal boundary theory for Riemann surfaces (30F25) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20) Cluster sets, prime ends, boundary behavior (30D40) Connections of harmonic functions with differential equations in two dimensions (31A35)

Related Items (1)

Transmission of harmonic functions through quasicircles on compact Riemann surfaces

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