Musielak–Orlicz–Bochner function spaces which are uniformly noncreasy

Abstract

In this paper, the criteria for uniform noncreasiness of Musielak–Orlicz–Bochner function spaces are given. Moreover authors also prove that the space LMfalse(Xfalse) (resp LM0false(Xfalse)) is uniformly noncreasy if and only if the space LMfalse(Xfalse) (resp LM0false(Xfalse)) is uniformly convex or uniformly smooth. As a corollary, the criteria for uniform noncreasiness of Musielak–Orlicz function spaces are given.