关于可测函数完全图的盒维数

On the bouligand-dimension of completed graphs of measurale functions

作为Takev·MD在 1 992年工作的补充 ,研究了定义在 [0 ,1 ]m 上的有界可测实值多元函数完全图的下盒维数 ,在一定条件下 。

As a complement of the work of Takev M D in 1992,considers the lower-bouligand dimension of the completed graphs of bounded measurable real-valued functions,which are defined on the set m.It's testified that bouligand dimension of the completed graphs can be describled by the order of the average modulus of continuity on some conditions.