全纯A_μ空间中K-泛函和光滑模的等价性

EQUIVALENCE OF K-FUNCTIONAL AND MODULUS OF SMOOTHNESS IN HOLOMORPHIC A_μ SPACES

本文研究了Cn中星型圆形域D上的全纯Aμ空间中两个逼近工具光滑模与K-泛函的关系问题,通过得到Aμ空间中的Bernstein不等式,获得了利用径向导数定义新的K-泛函与光滑模与K-泛函的等价性以及Marchaud不等式,推广了实函数空间中的结果.

In this paper,we study the relation between K-functional and modulus of smoothness in Aμspaces on starlike circular domain of Cnand get Bernstein inequality.A kind of K-functional is introduced by the radial derivative to obtain the equivalence of K-functional and the moduli of smoothness and Marchaud inequation,which extend the previous results.