Universal holomorphic and harmonic functions with additional properties
type: Item
instance of: scholarly article
title: Universal holomorphic and harmonic functions with additional properties
zbMATH Open document ID: 1124.30011
published in: Acta Mathematica Hungarica
publication date: 2005-07-05T00:00:00Z
review text: Based on the concept of so-called (total) omnipresence of operators, several results on the genericity of (translation-dilation) universal functions are proved. Mainly to have a unified approach to holomorphic and harmonic functions, in the first part operators on spaces of \(P\)-holomorphic functions are considered. The second part is devoted to holomorphic functions having lacunary power series structure and to holomorphic functions which are univalent in certain prescribed sets.
Mathematics Subject Classification ID: 30D40
Mathematics Subject Classification ID: 31B05
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 2186355
zbMATH Keywords: \(P\)-holomorphic functions
zbMATH Keywords: totally omnipresent operators
zbMATH Keywords: universal functions
zbMATH Keywords: lacunary holomorphic functions
zbMATH Keywords: harmonic functions
zbMATH Keywords: univalence
zbMATH Keywords: residual set
author: María del Carmen Calderón-Moreno
author: Jürgen Müller
reviewed by: Gerald Schmieder
MaRDI profile type: Publication
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full work available at URL: b:amhu.0000045528.75745.d2
OpenAlex ID: W1973260251
DOI: 10.1023/B:AMHU.0000045528.75745.D2
description: scientific article; zbMATH DE number 2186355