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巴氏空间的Burkholder不等式及应用
引用本文:王芳.巴氏空间的Burkholder不等式及应用[J].吉林大学学报(理学版),1998(2).
作者姓名:王芳
作者单位:吉林大学数学研究所!长春,130023
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.

关 键 词:B值鞅  Burkholder不等式  p阶光滑空间  q凸空间  随机指标和

Burkholder Inequalities and Its Application in Banach Spaces
Wang Fang.Burkholder Inequalities and Its Application in Banach Spaces[J].Journal of Jilin University: Sci Ed,1998(2).
Authors:Wang Fang
Abstract: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.
Keywords:B-valued  martingale  Burkholder inequality  p-smooth space  q-convex space  randomly stopped sums
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