Two-parameter vector-valued martingales and geometrical properties of Banach spaces

  • Cheng Ri-yan
  • Gan Shi-xin
Article
Received:

Abstract

We obtained a number of inequalities and laws of large numbers for two-parameter vector-valued martingales. In the other direction we characterizedp-smoothness andq-convexity of Banach spaces by using these inequalities and laws of large numbers for two-parameter vector-valued martingales.

Key words

two-parameter vector-valued martingle inequality law of large numbers p-smoothness q-convexity 

CLC number

O 211.6 O 177.3 

Document code

A 
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Copyright information

© Springer 1999

Authors and Affiliations

  • Cheng Ri-yan
    • 1
  • Gan Shi-xin
    • 1
  1. 1.College of Mathamatical SciencesWuhan UniversityWuhanChina

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