Farrell and Mergelyan sets of \(H^ p\) spaces \((0<p<1)\)
type: Item
instance of: scholarly article
title: Farrell and Mergelyan sets of \(H^ p\) spaces \((0<p<1)\)
zbMATH Open document ID: 0694.30034
author: Arne Stray
author: Fernando Pérez-González
published in: Michigan Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: The authors show, that for relatively closed subsets of the unit disk notions of Mergelyan and Farrell sets with respect to Hardy classes \(H^ p\), \(0<p<1\) (and even Smirnov class \(N^+)\), are equivalent and obtain a ``geometric'' characterization of those sets in terms of their ``size'' near the unit circle.
Mathematics Subject Classification ID: 30E10
zbMATH DE Number: 4136309
zbMATH Keywords: Mergelyan sets
zbMATH Keywords: Nevanlinna class
zbMATH Keywords: Smirnov class
zbMATH Keywords: Farrell sets
zbMATH Keywords: Hardy classes
reviewed by: Dmitry Khavinson
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029004008
OpenAlex ID: W1976640892
DOI: 10.1307/MMJ/1029004008
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description: scientific article; zbMATH DE number 4136309