摘要
证明了向量值树鞅的若干不等式.主要结果是如下不等式:若X同构于q一致凸空间(2 q<∞),则对每个X值的树鞅f=(ft,t∈T)α 1和max(α,q) β<∞成立‖(S(q)t(f),t∈T)‖Mα∞ Cαβ‖f‖Pαβ‖(σ(q)t(f),t∈T)‖Mα∞ Cαβ‖f‖Pαβ其中Cαβ是只依赖于α和β的常数.
We study vector-valued tree martingales and proved that if X is isomorphic to a q-uniformly convex space (2q<∞) then for every X-valued tree martingale f=(f_t, t∈T) and α1, max(q, α)β<∞, it holds that ‖(S^((q))_t(f), t∈T)‖_(M^(α∞))C_(αβ)‖f‖_(P^(αβ))‖(σ^((q))_t(f), t∈T)‖_(M^(α∞))C_(αβ)‖f‖_(P^(αβ))where C_(αβ) depends only α and β.
出处
《应用泛函分析学报》
CSCD
2004年第3期220-227,共8页
Acta Analysis Functionalis Applicata
基金
Supported by The National Natural Science Foundation of China(10 3710 93)
