On a problem of Doob about angular and fine cluster values

DOI10.2748/TMJ/1178228644zbMath0593.31005OpenAlexW2064203860MaRDI QIDQ1076197

Jun Shung Hwang

Publication date: 1985

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228644

zbMATH Keywords

Nevanlinna classsubharmonic functionsangular cluster setfine cluster set

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Cites Work

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• On Doob's conjecture about fine limit and Julia point
• Limites angulaires et limites fines
• Tsuji functions with segments of Julia
• Some classical function theory theorems and their modern versions
• Some results on thin sets in a half plane
• Conformally invariant cluster value theory
• Points irréguliers et transformations continues en théorie du potentiel
• Étude au voisinage de la frontière des fonctions subharmoniques positives dans un demi-espace

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