Inclusion Properties of Orlicz and Weak Orlicz Spaces

Al Azhary Masta, Hendra Gunawan, Wono Setya Budhi

Abstract


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

Keywords


Inclusion property; Lebesgue spaces; Orlicz spaces; Young function; weak Orlicz spaces.

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References


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DOI: http://dx.doi.org/10.5614%2Fj.math.fund.sci.2016.48.3.1

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