巴氏空间的Burkholder不等式及应用  

Burkholder Inequalities and Its Application in Banach Spaces

作　　者：王芳[1] 

机构地区：[1]吉林大学数学研究所,长春130023

出　　处：《吉林大学自然科学学报》1998年第2期23-27,共5页Acta Scientiarum Naturalium Universitatis Jilinensis

摘　　要：在一定的几何空间条件下，考虑B值鞅的Burkholder不等式及B值的Marcinkiewicz－Zygmund不等式的延伸，并且利用此结果讨论B值鞅的随机指标和的矩.The present paper deals with the generalization of Burkholder inequalities for B-valued martingales under certain geometric conditions, which is the corresponding real conclusions and the extension of B-valued Marcinkiewicz-Zygmund inequality. Moreover the author makes use of the result to investigate the moments of randomly stopped sums for B-valued martingales.

关 键 词：B值鞅 B不等式 随机指标和 巴拿赫空间 

分 类 号：O211.2[理学—概率论与数理统计]