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| Clifford鞅的b+p-权不等式及其应用 | |
| 引用本文： | 何统军,肖应雄,侯友良.Clifford鞅的b+p-权不等式及其应用[J].应用数学,2009,22(4). |
| 作者姓名： | 何统军 肖应雄 侯友良 |
| 作者单位： | 1. 福州大学数学与计算机科学学院,福建,福州,350108 2. 孝感学院数学系,湖北,孝感,432000 3. 武汉大学数学与统计学院,湖北,武汉,430072 |
| 基金项目： | 国家自然科学基金，the Fund of Fuzhou University |
| 摘 要： | 如果Cl,S是一个Clifford代数,v是一个非负测度,ψ是一个Cl,S-值可测函数,那么dμ=ψdv是一个Cl,S-值测度.在这篇论文中将证明如果ψ满足某些b+p-权条件那么关于测度dμ的Clifford-值鞅的一些不等式成立,且应用这些不等式在权ψ∈b+∞∩a1时获得了一些关于Clifford-值鞅的权对偶空间. |
| 关 键 词： | Clifford代数 鞅 均方变量 b+p-权 |
b+p-Weighted Inequalities for Universal Clifford Martingales and Their Applications |
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| HE Tong-jun,XIAO Ying-xiong,HOU You-liang.b+p-Weighted Inequalities for Universal Clifford Martingales and Their Applications[J].Mathematica Applicata,2009,22(4). | |
| Authors: | HE Tong-jun XIAO Ying-xiong HOU You-liang |
| Abstract: | If C_(l,S) is a universal Clifford algebra,v is a non-negative measure and ψ is a bounded C_(l,S)-valued measurable function,then d_μ=ψdv is a C_(l,S)-valued measure.We prove that if ψ satisfies some b_p~+-weighted conditions then some weighted inequalities for universal Clifford-valued martingales with respect to the measure d_μ hold.Using these inequalities we obtain some weighted dual spaces for universal Clifford martingales if the weighted ψ∈b_∞~+∩a_1. |
| Keywords: | Universal Clifford algebra Martingale Quadratic variation b+p-weighted |
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