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| Siegel Disks Whose Boundaries are Jordan Curves with Positive Area |
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Citation： |
Hongyu QU · Jianyong QIAO.Siegel Disks Whose Boundaries are Jordan Curves with Positive Area[J].Chinese Annals of Mathematics B,2025,46(6):807~858 |
| Page view： 235
Net amount： 121 |
Authors： |
Hongyu QU · Jianyong QIAO; |
Foundation： |
This work was supported by the National Natural Science Foundation of China (Nos. 12301102,
12471084), the Fundamental Research Funds for the Central Universities, Undergraduate General Education Reform Project of Beijing University of Posts and Telecommunications (No. 2025YB63) and the
Graduate General Education Reform Project of Beijing University of Posts and Telecommunications
(No. 2025YY024). |
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| Abstract： |
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 Ch′eritat added Runge’s theorem, to construct a
relatively compact Siegel disk and Osgood’s method for constructing a Jordan curve of
positive area. |
Keywords： |
Univalent functions, Siegel disks, Runge’s theorem, A Jordan curve of
positive area |
Classification： |
37F50 |
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