inner measure

is equal to the inner measure μwhich is defined on the hereditary H (S (R)) =H (R) and introduced by Paul R.

Ｈａｌｍｏｓ由σ－环Ｓ（Ｒ）上的σ－有限测度μ（μ｜Ｒ＝μ）所引出的定义在Ｈ（Ｓ（Ｒ））＝Ｈ（Ｒ）上的内测度μ是一致的，由此指出了环Ｒ上σ－有限测度的扩张的另一条途径。

Based on rough set theory,we discuss the relation between belief functions and inner measures,between belief functions and the lower probability of a random set.

以粗糙集为基础,研究了信任函数与内测度、信任函数与随机集的下概率之间的关系,并给出了它们基于粗糙集理论的解释。

In this paper we obtain the weighted norm inequalities of Riesz-mean operators by interpolation of change measures, weighted multiplier theory and other ways, some results of Sogge are generalized to the weighted case, and some are improved to some extent.

本文利用变测度内插定理,权乘子理论等方法,得到了Riesz-mean算子的加权估计。