Quasisymmetric Mappings on Moran Sets

Quasisymmetric Mappings on Moran Sets

This paper studies the quasisymmetric mappings on Moran sets. We introduce a gener- alized form of weak quasisymmetry and prove that, on Moran set satisfying the small gap condition, a generalized weakly quasisymmetric mapping is quasisymmetric. We further give a criterion for the quasisymmetry of m...

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Veröffentlicht in:Acta mathematica Sinica. English series 2015-09, Vol.31 (9), p.1424-1434
1. Verfasser: Li, Yanzhe
Format: Artikel
Sprache:eng
Schlagworte:
Criteria
Fractals
Mapping
Mathematical analysis
Mathematics
Mathematics and Statistics
Moran集
Studies
一般化
小间隙
拟对称映射
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Zusammenfassung:This paper studies the quasisymmetric mappings on Moran sets. We introduce a gener- alized form of weak quasisymmetry and prove that, on Moran set satisfying the small gap condition, a generalized weakly quasisymmetric mapping is quasisymmetric. We further give a criterion for the quasisymmetry of mappings between Moran sets with some regular structure.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-015-4432-0