Chinese Quarterly Journal of Mathematics ›› 1999, Vol. 14 ›› Issue (1): 47-51.

Previous Articles     Next Articles

On the Moments of Supn ||Sn/(nφ(n))1/p || in p-type Space

  

  1.  Department of Mathematics,Henan Normal University,Xinxiang,453002;Department of Mathematics,Kaifeng Teacherʾs College,Kaifeng,475001
  • Received:1998-04-17 Online:1999-03-30 Published:2024-10-10

Abstract:

 Let B be a p-type Banach space (1<p <2) ,φ( x ) be some slow increasing functions on [0,+∞) ,if {X ,

Xn,n≥1}is a sequence of i.i.d B-valued random variables,then we obtain a necessary and sufficient condition for the moments of Supn ||Sn/(nφ(n))1/p || being bounded.


Key words:  , p-type space;independenc

CLC Number: