乘积空间上的两类向量测度

TWO KINDS OF VECTOR MEASURES IN A PRODUCT SPACE

本文用两种不同的积分概念直接地给出了乘积空间上的两类向量测度,即定理2.3和定理2.4.同时给出了两个有用的推论.文献[1]中的乘积测度唯一存在定理可作为本文定理2.3和定理2.4的推论给出.

Two kinds of vector measures in a produet space are given in the theorem 2.3 and the theorem 2.4 in this paper by applying two kinds of integration.In the same time,two useful results as the corollary of the theorem 2.3 and the theorem 2.4 are given.The Fubini theorem in[1]is given as the corollary of the theorem 2.3 and the theorem 2.4.