@article{c816ae6c44174643a06a35dfe1660cbd,
title = "HAUSDORFF MEASURES of A CLASS of MORAN SETS",
abstract = "Let (n,c) be the class of Moran sets with integer n ≥ 2 and real c satisfying nc < 1. It is well known that the Hausdorff dimension of any set in this class is s = -logcn. We show that for any E (n,c), 2s 2 (n - 1)c 1 - cs ≤s(E) ≤ 1, where s(E) denotes s-dimensional Hausdorff measure of E. For any a with 2s 2 (n - 1)c 1 - cs ≤ a ≤ 1, there exists a self-similar set E (n,c) such that s(E) = a.",
keywords = "Hausdorff Dimension, Hausdorff Measure, Moran Sets",
author = "Xiaofang Jiang and Qinghui Liu and Guizhen Wang and Zhiying Wen",
note = "Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company.",
year = "2020",
month = may,
day = "1",
doi = "10.1142/S0218348X2050053X",
language = "English",
volume = "28",
journal = "Fractals",
issn = "0218-348X",
publisher = "World Scientific",
number = "3",
}