A note on Hausdorff measures of Sierpiński carpets
type: Item
instance of: scholarly article
zbMATH Open document ID: 1002.28006
DOI: 10.1023/A:1015558530338
author: Dongkui Ma
author: Zhiting Xu
publication date: 2003-01-05T00:00:00Z
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 28A78
zbMATH DE Number: 1719560
zbMATH Keywords: Sierpiński carpets
zbMATH Keywords: Hausdorff measures
MaRDI profile type: Publication
full work available at URL: a:1015558530338
OpenAlex ID: W2598426904
published in: Approximation Theory and its Applications
title: A note on Hausdorff measures of Sierpiński carpets
review text: In this paper the Hausdorff measures of Sierpiński carpets are discussed. The definitions of generalized Sierpiński carpets and regular Sierpiński carpets are given. Estimates of Hausdorff measures of generalized Sierpiński carpets are obtained and it is shown that for each of the generalized Sierpiński carpets there exists a regular Sierpiński carpet such that they have the same Hausdorff measures.
description: scientific article; zbMATH DE number 1719560