Real Analysis Exchange
- Real Anal. Exchange
- Volume 28, Number 2 (2002), 501-514.
Multifractal variation measures and multifractal density theorems.
In this paper we show that the multifractal Hausdorff measure and multifractal packing measure introduced by Olsen and Peyriere can be expressed as Henstock-Thomson \lq\lq variation" measures. As an application we prove a density theorem for these two measures that extends results by Edgar and is more refined than those found in [Ol1].
Real Anal. Exchange, Volume 28, Number 2 (2002), 501-514.
First available in Project Euclid: 20 July 2007
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 28A80: Fractals [See also 37Fxx]
Cole, J.; Olsen, L. Multifractal variation measures and multifractal density theorems. Real Anal. Exchange 28 (2002), no. 2, 501--514. https://projecteuclid.org/euclid.rae/1184963813