Article ID Journal Published Year Pages File Type
4617839 Journal of Mathematical Analysis and Applications 2012 13 Pages PDF
Abstract

In this paper we obtain non-trivial bounds for the Lq-spectra of self-similar measures without any separation conditions for q⩽1. As an application we obtain non-trivial upper bounds for the multifractal spectra of arbitrary self-similar measure without any separation conditions. Some examples illustrating our results are also discussed.

Related Topics
Physical Sciences and Engineering Mathematics Analysis