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arXiv · 1404.4306

Smoothness of the Orlicz Norm in Musielak-Orlicz Function Spaces

Rui F. Vigelis·Charles C. Cavalcante
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Abstract

In this paper, we present a characterization of support functionals and smooth points in $L_{0}^Φ$, the Musielak-Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of $L_{0}^Φ$ is also obtained. Some expressions involving the norms of functionals in $(L_{0}^Φ)^{*}$, the topological dual of $L_{0}^Φ$, are proved for arbitrary Musielak-Orlicz functions.

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BibTeXRIS

Rui F. Vigelis, Charles C. Cavalcante. 2014-04-16. Smoothness of the Orlicz Norm in Musielak-Orlicz Function Spaces. https://arxiv.org/abs/1404.4306

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