中文摘要：

在有界对称域上的Ω球代数中建立Bernstein不等式,进而获得多项式逼近的Bernstein逆定理,最后给出Lipschitz和Zygmund子空间的逼近等价刻画.

英文摘要：

Bernstein＇s inequality is established inΩalgebra spaces on bounded symmetric domains Ω in Cn.Bernstein converse theorem of approximation was obtained by algebraic polynomials.The equivalent characterization of some subspaces in Ω algebra,such as the Lipschitz type space and the Zygmund type space in terms of the rate of approximation was gived.