Mean growth of \(H^p\) functions
type: Item
instance of: scholarly article
title: Mean growth of \(H^p\) functions
zbMATH Open document ID: 0920.30026
DOI: 10.5565/PUBLMAT_42298_02
author: Daniel Girela
author: María Auxiliadora Márquez
published in: Publicacions Matemàtiques
publication date: 1999-03-22T00:00:00Z
full work available at URL: https://eudml.org/doc/41354
review text: Let \({\mathbf D}\) be the unit disk in the complex plane and \(A^{-\infty} ({\mathbf D})\) be the space of functions of polynomial growth. Sampling sets for \(A^{-\infty} ({\mathbf D})\) are those such that the restriction of a function in \(A^{-\infty} ({\mathbf D})\) to the set determines the type of growth of the function. The authors establish that sampling sets are always weakly sufficient and that weakly sufficient sets are always of uniqueness. It is shown that the converse implications do not hold.
Mathematics Subject Classification ID: 30D55
zbMATH DE Number: 1267249
zbMATH Keywords: Blaschke product
zbMATH Keywords: space of functions of polynomial growth
reviewed by: Rauno Aulaskari
MaRDI profile type: Publication
OpenAlex ID: W2149568113
description: scientific article; zbMATH DE number 1267249