A Note on Inclusion Properties of Weighted Orlicz Spaces

Al Azhary Masta, Ifronika -, Muhammad Taqiyuddin

Abstract


In this paper we present sufficient and necessary conditions for the inclusion relation
between two weighted Orlicz spaces which complete the Osan\c{c}liol result in 2014.
One of the keys to prove our results is to use the norm of the characteristic functions
of the balls in $\mathbb{R}^n$.


Keywords


Inclusion property;weighted Lebesgue spaces;weighted Orlicz spaces

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DOI: https://doi.org/10.22342/jims.26.1.816.128-136

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Journal of the Indonesian Mathematical Society
Mathematics Department, Universitas Gadjah Mada
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p-ISSN: 2086-8952 | e-ISSN: 2460-0245


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