Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664702 | Acta Mathematica Scientia | 2009 | 7 Pages |
Abstract
In this article, some necessary and sufficient conditions are shown in order that the inequality of the form Φ1(λ)Pu(f*>λ)≤Ev(Φ2(C|f∞|))Φ1(λ)Pu(f*>λ)≤Ev(Φ2(C|f∞|))holds with some constant C > 0 independent of martingale f = (fn)n≥o and λ > 0, where Φ1 and Φ2 are a pair of Young functions, f*=supn≥0|fn| and f∞=limn→∞fn a.e.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Ren Yanbo, Hou Youliang,