Journal of Mathematical and Fundamental SciencesVol. 48 No. 3 (2016)
Inclusion Properties of Orlicz and Weak Orlicz Spaces
Al Azhary Masta(Mathematics Department, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung) Hendra Gunawan(Mathematics Department, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung) Wono Setya Budhi(Mathematics Department, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung)
Article Info
Publish Date 30 Dec 2016
Abstract
This paper discusses the structure of Orlicz spaces and weak Orliczspaces on â„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 â„n.
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