Orlicz空间的依测度一致凸点

UNIFORM ROTUNDITY POINTS IN MEASURE OF ORLICZ SPACES

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.

A new definition, namely uniformly rotundity points in measure, is introduced, and the criteria for the uniform rotundity points in measure of Orlicz spaces with the Orlicz norm are given. The necessary and sufficient conditions of the uniform rotundity in measure of Orlicz spaces are obtained too.