摘要
讨论了当f是标量值鞅,g是X值鞅时,双鞅算子D(f,g)=∑n=1dnf·dng的有界性,并同时得到了对于f是X值鞅,且g是X值鞅时关于D(f,g)有界性的类似结论.
The boundedness of marthingale paraproduct operator D(f,g)=∑∞n=1dnf·dng is discussed in this paper, while f is a scalar martingale and g is a X-valued martingale. And also we get the same result when f is a X* valued martingale and g is a X-valued martingale.
出处
《青岛科技大学学报(自然科学版)》
CAS
2005年第3期279-282,共4页
Journal of Qingdao University of Science and Technology:Natural Science Edition
关键词
B值鞅空间
双鞅算子
凸性
光滑性
Banach-valued martingale space
martingale paraproduct operator
convexity
smoothness