Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (6): 1086-1091.

• Articles • Previous Articles     Next Articles

Some New Isomorphic Characterizations of q-convex Banach Spaces

 REN Yan-Bo   

  1. School of Mathematics and Systems Science, |Beihang University, Beijing 100191;
    School of Mathematics and Statistics, Henan University of Science and Technology, Henan |Luoyang 471003
  • Received:2011-09-13 Revised:2012-07-11 Online:2012-12-25 Published:2012-12-25
  • Supported by:

    国家自然科学基金(11171015)资助

Abstract:

In this paper, some new isomorphic characterizations of q-convex Banach spaces are given in terms of good λ-inequalities and rearrangement inequalities of vector-valued martingales. In particular, we show that the inequalities are equivalent to each other when the martingales take their values in q-convexifiable Banach spaces.

Key words: Martingale, Good λ-inequality, Rearrangement inequality,  q-convex space

CLC Number: 

  • 60G42
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