Inclusions of Hardy-Orlicz spaces
type: Item
instance of: scholarly article
title: Inclusions of Hardy-Orlicz spaces
zbMATH Open document ID: 0614.46024
DOI: 10.1155/S0161171286000558
author: R. Khalil
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46155
review text: Let \(\phi\) be a continuous positive increasing function defined on [0,\(\infty)\) such that \(\phi (x+y)\leq \phi (x)+\phi (y)\) and \(\phi (0)=0\). The Hardy-Orlicz space generated by \(\phi\) is denoted by H(\(\phi)\). In this paper, we prove that for \(\phi\neq \psi\), if \(H(\phi)=H(\psi)\) as sets, then \(H(\phi)=H(\psi)\) as topological vector spaces. Some other results are given.
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 3994282
zbMATH Keywords: modulus function
zbMATH Keywords: Hardy-Orlicz space
MaRDI profile type: Publication
OpenAlex ID: W2058963411
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description: scientific article; zbMATH DE number 3994282