On the p-convexity of Orlicz spaces
type: Item
instance of: scholarly article
title: On the p-convexity of Orlicz spaces
zbMATH Open document ID: 0586.46022
author: Francisco L. Hernández
published in: Collectanea Mathematica
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/44418
review text: Given \(0<p\leq 1\), we obtain some conditions in terms of the Orlicz function \(\Phi\) for the non p-convexity of the Orlicz spaces \(L^{\Phi}_{\Omega}\) on arbitrary measure spaces. The results are obtained using the galb theory of \textit{Ph. Turpin} [Diss. Math., Warszawa 131, 221 p. (1976; Zbl 0331.46001)] and they extend some results of \textit{W. Matuszewska} and \textit{W. Orlicz} [Stud. Math. 21, 107-115 (1961; Zbl 0202.399)] given for atomless finite measures.
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 3939981
zbMATH Keywords: Orlicz function
zbMATH Keywords: Orlicz spaces
zbMATH Keywords: galb theory of \textit{Ph. Turpin}
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3939981