Inclusion Properties of Orlicz and Weak Orlicz Spaces

Al Azhary Masta; Hendra Gunawan; Wono Setya Budhi

doi:10.5614/j.math.fund.sci.2016.48.3.1

Authors

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

DOI:

https://doi.org/10.5614/j.math.fund.sci.2016.48.3.1

Keywords:

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

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.

Author Biographies

Al Azhary Masta, Mathematics Department, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung

PhD Student

Hendra Gunawan, Mathematics Department, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung

Professor

Analysis and Geometry Group

Wono Setya Budhi, Mathematics Department, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung

Professor

Analysis and Geometry Group

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