多维空间中的Markov不等式

在一维空间区间上存在关于实多项式及其导数无穷模之间关系的不等式，即Ｍａｒｋｏｖ不等式。在多维空间中，此类关系受到区域形状影响，远比一维的情形复杂。在已知的反映此类关系的不等式中，有关常数是定性的，该文将采用一种新的证明方法，从而给出这类常数的上界估计。

Markov inequalities in multidimentional space

In one dimentional space there exists an inequality called Markov inequality about the relation between the infinite norm on an interval of a real polynomial and its derivative.In multidimentional space,such relation is affected by the property of the region,so the case is much more complicated.In the known inequalities representing such relation,the related constant is qualitative. In this paper,a new proof is given to get the upperbound estimation of such constants.