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<p>In this paper, the authors construct a univalent function having a relatively compact Siegel disk whose boundary is a Jordan curve of positive area. The construction is based on a general scheme in which Chéritat added Runge’s theorem, to construct a relatively compact Siegel disk and Osgood’s method for constructing a Jordan curve of positive area.</p>

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Siegel Disks Whose Boundaries are Jordan Curves with Positive Area

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • Hongyu Qu,
  • Jianyong Qiao

摘要

In this paper, the authors construct a univalent function having a relatively compact Siegel disk whose boundary is a Jordan curve of positive area. The construction is based on a general scheme in which Chéritat added Runge’s theorem, to construct a relatively compact Siegel disk and Osgood’s method for constructing a Jordan curve of positive area.