半平面中解析函数的积分表示

邓冠铁

数学学报 ›› 2005, Vol. 48 ›› Issue (3) : 489-492.

PDF(295 KB)
PDF(295 KB)
数学学报 ›› 2005, Vol. 48 ›› Issue (3) : 489-492. DOI: 10.12386/A2005sxxb0058
论文

半平面中解析函数的积分表示

    邓冠铁
作者信息 +

Integral Representation of Analytic Functions in Half-Plane

    Guan Tie DENG
Author information +
文章历史 +

摘要

本文证明了半平面中满足某些限制增长条件的解析函数可以用加权Blaschke乘积和在半平面边界上的积分之和表示出来,这一结果改进了在半平面为指数型解析函数的经典结果.

Abstract

In this paper, we prove that analytic functions in a half plane with some restricted growth can be represented by a sum of its weighted Blaschke product and of its integral on the boundary the half plane; this improves the classical result about the exponential analytic functions in a half-plane.

关键词

解析函数 / 积分表示 / Blaschke乘积

引用本文

导出引用
邓冠铁. 半平面中解析函数的积分表示. 数学学报, 2005, 48(3): 489-492 https://doi.org/10.12386/A2005sxxb0058
Guan Tie DENG. Integral Representation of Analytic Functions in Half-Plane. Acta Mathematica Sinica, Chinese Series, 2005, 48(3): 489-492 https://doi.org/10.12386/A2005sxxb0058
PDF(295 KB)

347

Accesses

0

Citation

Detail

段落导航
相关文章

/