Point separation of a two-sheeted disc by bounded analytic functions
type: Item
instance of: scholarly article
title: Point separation of a two-sheeted disc by bounded analytic functions
zbMATH Open document ID: 0920.30025
author: Mikihiro Hayashi
author: Takao Kato
published in: Hokkaido Mathematical Journal
publication date: 1999-04-11T00:00:00Z
review text: Let \(\pi:\widetilde\Delta\to\Delta\) be a two-sheeted unlimited covering of \(\Delta\) whose ramification points does not accumulate in \(\Delta\) where \(\Delta\) is the open unit disc. The authors consider the problem when the point of \(\widetilde D=\pi^{-1} (D)\) are separated by bounded analytic functions where \(D\) is a domain of \(\Delta\). They show a sharpness of the non-separating conditions given in [\textit{M. Hayashi}, \textit{M. Nakai} and \textit{S. Segawa}, J. Anal. Math. 61, 293-325 (1993; Zbl 0795.30029)] by improving the separating conditions given there.
reviewed by: Takahiko Nakazi
Mathematics Subject Classification ID: 30D50
Mathematics Subject Classification ID: 30H05
Mathematics Subject Classification ID: 32A38
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 1247671
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1351001462
OpenAlex ID: W2066711930
DOI: 10.14492/HOKMJ/1351001462
description: scientific article; zbMATH DE number 1247671