B 值复测度拟鞅的原子分解

Abstract

Abstract:

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 D_α(X) and _pQ_α(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.

Key words: Complex measure, , Vector-valued quasi-martingale, , Atomic decomposition

CLC Number:

60G46

Cite this article

MA Cong-Bian, HOU You-Liang. Atomic Decompositions of B -valued Quasi-martingales with Respect to Complex Measures[J].Acta mathematica scientia,Series A, 2009, 29(3): 584-592.

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Atomic Decompositions of B -valued Quasi-martingales with Respect to Complex Measures

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