Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617839 | Journal of Mathematical Analysis and Applications | 2012 | 13 Pages |
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.
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Analysis