1) paraproduct martingale operator
双鞅算子
1.
it is proved that law of large number for B-valued paraproduct martingale operator is valid under certain conditions.
应用鞅不等式和B anach空间的几何性质,证明了当B是p阶光滑时,取值于B anach空间上的双鞅算子在一定条件下的大数定律成立。
2.
According to the martingale inequalities and the inter-imbedding relationship in martingale spaces,we describe the boundedness of the paraproduct martingale operator on Banach-space-valued martingale spaces and give the relations between the boundedness and the geometrical properties of the Banach space.
通过运用Banach值鞅不等式和鞅空间的相互嵌入关系,讨论了Banach值鞅空间上双鞅算子的有界性,并得到了双鞅算子的有界性与Banach空间几何性质的关系。
3) operator-valued martingale transforms
算子值鞅变换
1.
Describe the boundedness of the operator-valued martingale transforms,and as an application the p-uniform smoothness and q-uniform convexity of Banach spaces are characterized by the boundedness of martingale transform operators.
讨论了算子值鞅变换的有界性,并应用鞅变换的有界性刻画了Banach空间的几何性质一致凸及一致光滑性。
4) Two parameter martingale
双参数鞅
5) diadic operator
双值算子
6) two-sided operator
双边算子
补充资料:鞅鞅不乐
1.因不满意而很不快乐。鞅,通"怏"。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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