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<p>In this paper, we establish a characterization for a homeomorphism between uniform domains in <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40840_2025_1918_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({{\mathbb {R}}}^n\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mi>n</mi> </msup> </math></EquationSource> </InlineEquation> (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40840_2025_1918_Article_IEq2.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\(n\ge 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>n</mi> <mo>≥</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation>) to be a quasimöbius mapping relative to the boundaries in terms of Ptolemaic angular metrics.</p>

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Relatively Quasimöbius Mappings and Ptolemaic Angular Metrics

  • 期刊论文

  • 发表日期：

    2025年7月3日

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  • Xiaoguan Chen,
  • Zhiqiang Yang

摘要

In this paper, we establish a characterization for a homeomorphism between uniform domains in \({{\mathbb {R}}}^n\) R n ( \(n\ge 2\) n ≥ 2 ) to be a quasimöbius mapping relative to the boundaries in terms of Ptolemaic angular metrics.