Orlicz空间的依测度一致凸点
Uniform rotundity points in measures of Orlicz spaces
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摘要: 引进依测度一致凸点的概念, 给出了赋Orlicz范数Orlicz空间依测度一致凸点的判据,进而推出Orlicz空间依测度一致凸的充分必要条件。Abstract: This paper has introduced a new definition, namely uniformly rotundity points in measures, the criteria for uniform rotundity points in measures of Orlicz spaces with the Orlicz norm are given. The necessary and sufficient conditions of uniform rotundity in measures of Orlicz spaces are obtained too.