中文摘要：

在Cn中的星型圆形域上Hardy型空间Aμ中建立Bernstein不等式,从而得到多项式逼近的Bern-stein定理并给出其Lipschitz型和Zygmund型子空间依照逼近阶的等价刻画.

英文摘要：

Bernstein’s inequality is established in Hardy-type spaces Aμ on starlike-circular domain of Cn.Then we obtain Bernstein converse theorem of approximation by algebraic polynomials and give the equivalent characterization of the Lipschitz type and Zygmund type subspaces in terms of the rate of approximation.