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Keywords:
Musielak-Orlicz space; modulus of convexity; characteristic of convexity; the $\Delta _2$-condition
Musielak-Orlicz space; modulus of convexity; characteristic of convexity; the $\Delta _2$-condition
Summary:
In this paper we extend the result of [6] on the characteristic of convexity of Orlicz spaces to the more general case of Musielak-Orlicz spaces over a non-atomic measure space. Namely, the characteristic of convexity of these spaces is computed whenever the Musielak-Orlicz functions are strictly convex.
References:
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