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Lipschitz classification of self-similar sets with overlaps
Monatshefte für Mathematik ( IF 0.8 ) Pub Date : 2021-03-11 , DOI: 10.1007/s00605-021-01542-8
Lian Wang , Dong-Hong Xiong

In Rao et al. (Comptes Rendus Acad Sci Paris Ser I(342):191–196, 2006), Rao–Ruan–Xi solved an open question posed by David and Semmes and gave a complete Lipschitz classification of self-similar sets on \(\mathbb R\) with touching structure. In this short note, by applying a matrix rearrangeable condition introduced in Luo (J Lond Math Soc 99(2):428–446, 2019), we generalize their result onto the self-similar sets with overlapping structure.



中文翻译:

具有重叠的自相似集的Lipschitz分类

在饶等人。(Compute Rendus Acad Sci Paris Ser I(342):191–196,2006),Rao–Ruan–Xi解决了David和Semmes提出的一个开放性问题,并在\(\ mathbb R \)具有感人的结构。在此简短说明中,通过应用Luo(J Lond Math Soc 99(2):428-446,2019)中引入的矩阵可重排条件,我们将其结果推广到具有重叠结构的自相似集合上。

更新日期:2021-03-11
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