带形区域边界上L<sup>P</sup>函数的亚纯逼近与分解

带形区域边界上L^P函数的亚纯逼近与分解

摘要: 主要证明了带形区域边界上的 $\100dpi \inline L^p$ (0<p<1) 函数可以被2列定义在互不相交的带形区域上的 Hardy 空间中的具有特殊性质的亚纯函数逼近,并且能够分解为带形区域上Hardy空间中函数的非切向极限之和.

Abstract: In this paper, we mainly prove that every $\100dpi \inline L^p$ (0<p<1) function on the boundary of the strip can
be approximated by two lists of meromorphic functions with some features in Hardy spaces on the disjoint
strip, and can be decomposed into the sum of two non-tangential limit functions in Hardy spaces on the strip.