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Inclusion Properties of Orlicz and Weak Orlicz Spaces

Al Azhary Masta, Hendra Gunawan, Wono Setya Budhi

Journal of Mathematical and Fundamental Sciences · 2016

doi:10.5614/j.math.fund.sci.2016.48.3.1 (opens in a new tab)

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Abstract

This paper discusses the structure of Orlicz spaces and weak Orlicz spaces on ℝn. 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 ℝn.

Abstract licence: CC BY-ND

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