Convexity in Musielak-Orlicz spaces
Copyright policy )Convexity in Musielak-Orlicz spaces
A modification of uniformly convex modular in the sense of W. A. J. Luxemburg and necessary and sufficient conditions for a modular of the Musielak-Orlicz type defined on the space of strongly measurable vector- valued functions to be uniformly convex in the new sense are given. Moreover, some examples that illustrate this result and a method of estimation of the modulus of convexity for Orlicz spaces are also given.
modulus of convexity for Orlicz spaces, modular of the Musielak-Orlicz type, Classical Banach spaces in the general theory, uniformly convex modular, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
modulus of convexity for Orlicz spaces, modular of the Musielak-Orlicz type, Classical Banach spaces in the general theory, uniformly convex modular, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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