Derivation bases and the Hausdorff measure
type: Item
instance of: scholarly article
title: Derivation bases and the Hausdorff measure
zbMATH Open document ID: 0642.26002
author: Sandra Meinershagen
published in: Real Analysis Exchange
publication date: 1988-01-01T00:00:00Z
review text: The author deals with a problem posed by \textit{B. S. Thomson} [Real Anal. Exch. 8, 67-207 (1983; Zbl 0525.26002)]. Some sufficient conditions are shown such that the Hausdorff measure on a set equals to the measure generated by the usual derivation basis. It is also shown that the symmetric derivation basis gives rise to a measure which is finite on more sets of finite Hausdorff measure than the measure from the usual derivation basis.
Mathematics Subject Classification ID: 26A24
Mathematics Subject Classification ID: 28A75
zbMATH DE Number: 4046041
zbMATH Keywords: Hausdorff measure
zbMATH Keywords: measure generated by the usual derivation basis
zbMATH Keywords: symmetric derivation basis
reviewed by: Pavel Kostyrko
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4046041