# Vector-valued multifractal measures

## Abstract

We propose a framework for vector-valued measures which permits vector analogues of the singular measures which arise in multifractal theory. We obtain some of their properties and calculate the multifractal spectrum and $$p$$th moments for certain self-similar vector-valued measures.

### Comments

If you have any queries about my work or would like a copy of this paper then please contact me at:

t.c.oneil@open.ac.uk

Created:13 August 1996
Modified:12 November 2012