Musielak–Orlicz–Bochner function spaces which are uniformly noncreasy

Shaoqiang Shang and Yunan Cui

Mathematische Nachrichten, 2018, vol. 291, issue 13, 2099-2114

Abstract: In this paper, the criteria for uniform noncreasiness of Musielak–Orlicz–Bochner function spaces are given. Moreover authors also prove that the space LM(X) (resp LM0(X)) is uniformly noncreasy if and only if the space LM(X) (resp LM0(X)) is uniformly convex or uniformly smooth. As a corollary, the criteria for uniform noncreasiness of Musielak–Orlicz function spaces are given.

Date: 2018
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