Scholarlink

<p>In 1990&#xa0;s, by using the quasihyperbolic metric and quasi-isometric mappings as main tools, Väisälä established the theory of (dimension) freely quasiconformal mappings in real Banach spaces. In this paper, we employ relative distance and relative mappings to characterize the related mapping classes in Väisälä’s free quasiworld, including semisolid mappings, Lipschitz mappings in the quasihyperbolic metric, coarsely Lipschitz mappings in the quasihyperbolic metric, and two-sided conditions about these mapping classes. Next, we study the fully punctured properties of these mapping classes and obtain new characterizations of freely quasiconformal mappings in Banach spaces.</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

Relative Mappings and the Free Quasiworld

  • 期刊论文

  • 发表日期：

    2026年4月3日

查看全文
  • Yuehui He

摘要

In 1990 s, by using the quasihyperbolic metric and quasi-isometric mappings as main tools, Väisälä established the theory of (dimension) freely quasiconformal mappings in real Banach spaces. In this paper, we employ relative distance and relative mappings to characterize the related mapping classes in Väisälä’s free quasiworld, including semisolid mappings, Lipschitz mappings in the quasihyperbolic metric, coarsely Lipschitz mappings in the quasihyperbolic metric, and two-sided conditions about these mapping classes. Next, we study the fully punctured properties of these mapping classes and obtain new characterizations of freely quasiconformal mappings in Banach spaces.