TY - JOUR
T1 - On the Projections of the Mutual Multifractal Rényi Dimensions
AU - Douzi , Zied
AU - Selmi , Bilel
JO - Analysis in Theory and Applications
VL - 4
SP - 572
EP - 592
PY - 2021
DA - 2021/11
SN - 37
DO - http://doi.org/10.4208/ata.OA-2017-0036
UR - https://global-sci.org/intro/article_detail/ata/19965.html
KW - Mutual Hausdorff dimension, mutual packing dimension, mutual multifractal analysis, doubling measures, projection.
AB - <p style="text-align: justify;">In this paper, we compare the mutual multifractal Rényi dimensions to the mutual multifractal Hausdorff and pre-packing dimensions. We also provide a relationship between the mutual multifractal Rényi dimensions of orthogonal projections of a couple of measures $(\mu,\nu)$ in $\mathbb{R}^n$. As an application, we study the mutual multifractal analysis of the projections of measures.</p>