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.
出处
《吉林大学自然科学学报》
CAS
CSCD
1998年第2期23-27,共5页
Acta Scientiarum Naturalium Universitatis Jilinensis
关键词
B值鞅
B不等式
随机指标和
巴拿赫空间
B-valued martingale, Burkholder inequality, p-smooth space, q-convex space, randomly stopped sums