Abstract: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.
Keywords: Musielak-Orlicz space, modulus of convexity, characteristic of convexity, the $\Delta _2$-condition
AMS Subject Classification: Primary 46E30; Secondary 46B20