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arXiv · 1911.09643

On the projections of the multifractal Hewitt-Stromberg dimension functions

Bilel Selmi
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Abstract

The aim of this paper is to study the behavior of the multifractal Hewitt-Stromberg dimension functions under projections in Euclidean space. As an application, we study the multifractal analysis of the projections of a measure. In particular, we obtain general results for the multifractal analysis of the orthogonal projections on $m$-dimensional linear subspaces of a measure $\mu$ satisfying the multifractal formalism which is based on the Hewitt-Stromberg measures.

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Bilel Selmi. 2019-11-20. On the projections of the multifractal Hewitt-Stromberg dimension functions. https://arxiv.org/abs/1911.09643

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