Quasisymmetric minimality on packing dimension for Moran sets

被引：14

作者：

Li, Yanzhe ^{[1
]}

Wu, Min ^{[1
]}

Xi, Lifeng ^{[2
]}

机构：

[1] S China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China

[2] Zhejiang Wanli Univ, Inst Math, Ningbo 315100, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 408卷 / 01期

关键词：

Quasisymmetric mapping; Packing dimension; Moran set; HAUSDORFF DIMENSION; CONFORMAL MAPPINGS;

D O I：

10.1016/j.jmaa.2013.04.085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that if sup(k) n(k) < infinity and c(k,1) = c(k,2) = . . . = c(k,nk) for any k, or if c* = inf(kj) c(k.j) > 0, the Moran set E is an element of M(I, {n(k)}, {c(kj))) on the line with packing dimension 1 are quasisymmetrically packing-minimal. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：324 / 334

页数：11

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