Scholarlink

<p>In this paper, we introduce a class of vanishing Carleson measures with conformal invariance and corresponding strongly vanishing symmetric homeomorphisms on the real line and prove that they can be mutually generated under quasiconformal mappings. This is motivated by the construction of a VMO-Teichmüller space on the real line which settles the recurrent problem of lack of conformal invariance in the former attempts (Shen in Ann Fenn Math 47(1):57–82, 2022; Wei and Matsuzaki in Anal Math Phys 11(2):1–17, 2021; Bull Lond Math Soc 53(3):723–739, 2021; Indiana Univ Math J 72:1553–1576, 2023).</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

The boundary correspondence under quasiconformal mappings and VMO-Teichmüller space

  • 期刊论文

  • 发表日期：

    2026年5月25日

查看全文
  • Tailiang Liu,
  • Yuliang Shen

摘要

In this paper, we introduce a class of vanishing Carleson measures with conformal invariance and corresponding strongly vanishing symmetric homeomorphisms on the real line and prove that they can be mutually generated under quasiconformal mappings. This is motivated by the construction of a VMO-Teichmüller space on the real line which settles the recurrent problem of lack of conformal invariance in the former attempts (Shen in Ann Fenn Math 47(1):57–82, 2022; Wei and Matsuzaki in Anal Math Phys 11(2):1–17, 2021; Bull Lond Math Soc 53(3):723–739, 2021; Indiana Univ Math J 72:1553–1576, 2023).