Scholarlink

<p>As a generalization of Ahlfors’s results for analytic functions, by using the pre-Schwarzian derivative of harmonic mappings, the authors obtain a criterion of univalence and quasiconformal extension for harmonic functions. As applications, they give a lower bound of the inner radius of univalency by means of pre-Schwarzian derivative of harmonic mappings for a planar domain.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On the Univalence and Quasiconformal Extensions Criterion for Harmonic Mappings Associated with Pre-Schwarzian Derivative

  • 期刊论文

  • 发表日期：

    2026年5月25日

查看全文
  • Xiaoyuan Wang,
  • Jinhua Fan,
  • Zhenyong Hu,
  • Zhigang Wang

摘要

As a generalization of Ahlfors’s results for analytic functions, by using the pre-Schwarzian derivative of harmonic mappings, the authors obtain a criterion of univalence and quasiconformal extension for harmonic functions. As applications, they give a lower bound of the inner radius of univalency by means of pre-Schwarzian derivative of harmonic mappings for a planar domain.