多维整数序列的乘积不等式的注记

Note on the Product Inequalities for Sequences of Multidimensional Integers

For multi-dimensional integer-valued sequence, a new proof of the upper-bound and lower-bound estimations on the product of all its components is given in this paper. Those estimations are very important to characterize the Kondratiev space of random test function, in which space it is convenient to study random distribution,random partial differential equation and other problems.