摘要
引进一类拓扑向量空间,用以描述测度的偏导。使用的工具是所谓的参数化鞅。建立了若干参数化鞅的收敛定理。
This paper is the sequel of a previous work[1]where we dealed with the partial derivatives of measures. We introduce here the notation of parametrized martingales.Some convergence theorems of parametrized martingales are obtained, with the help of which,we give a description of the partial derivatives of measures by virtue of certain topological vector spaces.
关键词
参数化测度
测度的偏导
参数化鞅
局部凸拓扑向量空间
parametrized measures
the partial derivatives of measures
parametrized martingales
locally convex topological vector spaces