Inclusion properties of Orlicz and weak Orlicz spaces

In this paper we discuss the structure of Orlicz spaces and weak Orlicz spaces on \(\mathbb{R}^n\). We obtain some necessary and sufficient conditions for the inclusion property of these spaces. One of the keys is to compute the norm of the characteristic functions of the balls in \(\mathbb{R}^n\).

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Bibliographic Details
Published inarXiv.org
Main Authors Masta, Al Azhary, Gunawan, Hendra, Budhi, Wono Setya
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 12.07.2016
Subjects
Characteristic functions
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Summary:In this paper we discuss the structure of Orlicz spaces and weak Orlicz spaces on \(\mathbb{R}^n\). We obtain some necessary and sufficient conditions for the inclusion property of these spaces. One of the keys is to compute the norm of the characteristic functions of the balls in \(\mathbb{R}^n\).
ISSN:2331-8422