%0 Journal Article
%T Atomic Decompositions of B -valued Quasi-martingales with Respect to Complex Measures
B 值复测度拟鞅的原子分解
%A 马聪变
%A 侯友良
%J 数学物理学报(A辑)
%D 2009
%I
%X Let P be a probability measure, ψ a complex valued integrable function and dμ=ψdP a complex valued measure. Two theorems of atomic decompositions for the space Dα(X) and pQα(X) of X-valued quasi-martingales with respect to the complex measure μ are obtained when ψ ∈a1 ∩ b∝+ and the Banach space X has suitable convexity and smoothness. As the applications of atomic decompositions two inequalities are proved for X-valued quasi-martingales respect to the complex measures μ by using atomic decompositions in the case of 0< α ≤ 1.
%K Complex measurezz
%K  zz
%K Vector-valued quasi-martingalezz
%K  zz
%K Atomic decompositionzz
复测度
%K 向量值拟鞅
%K
%K 原子分解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=B3216E88859F70836F4C378A6DC2E432&yid=DE12191FBD62783C&vid=771469D9D58C34FF&iid=38B194292C032A66&sid=E04FC1B5BC47587B&eid=106103EB0EA31435&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=10