中文摘要：

主要研究了赋p-Amemiya范数的Musielak-Orlicz函数空间,当1≤p＜∞且p是奇数时,给出了该空间中单位球的复端点和复强端点的充要条件,进而可得出该空间是复严格凸和复中点局部一致凸的判别准则.

英文摘要：

The criteria for complex extreme points and complex strongly extreme points of the unit ball in Musielak - Orlicz function spaces equipped with the p - Amemiya norm（ 1 ≤p 〈 ∞ ,p is odd） are studied in this paper. Moreover, criteria for complex rotundity and complex mid - point locally uniform convexity of above spaces are also deduced.