上半平面上的非切极大模与调和函数(第1部分)

Pure Mathematical Sciences Pub Date : 1900-01-01 DOI:10.12988/PMS.2021.91225

Hon-Ming Ho, K. Li

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引用次数: 0

摘要

本文给出了上半平面上实值调和函数的非切极大模的几个很好的定理。本文给出了边值函数具有高阶光滑性的全纯函数用非切模刻画实部的几个充分必要条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Non-tangential maximal moduli and harmonic functions on the upper half plane (part 1)

In this paper, we present some nice theorems on non-tangential maximal moduli associated to real-valued harmonic functions on the upper half plane. Some necessary and suﬃcient conditions using nontangential moduli to characterize real parts of holomorphic functions with their boundary value functions having smoothness of high order will be presented in this paper and the second paper.

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Pure Mathematical Sciences

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