In this paper,we discuss the convexity in complex Banach spuces and Hp martingales. We have obtained many equivalent conditions between the convexity and Hp martingales in complex Banach spaces.
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李兵.复Banach空间的凸性及 Hp 鞅[J].国防科技大学学报,1994,16(1):120-127. Li Bing. Convexity in Complex Banach Spaces and Hp Martingales[J]. Journal of National University of Defense Technology,1994,16(1):120-127.