Multifractal dimensions for projections of measures

Abstract

In this paper, we study the multifractal Hausdorff and packing dimensions of Borel probability measures and study their behaviors under orthogonal projections. In particular, we try through these results to improve the main result of M. Dai in \cite{D} about the multifractal analysis of a measure of multifractal exact dimension.

References in corpus (4)

• On the projections of mutual multifractal spectra
• Multifractal Analysis of inhomogeneous Bernoulli products
• A mixed multifractal formalism for finitely many non Gibbs Frostman-like measures
• Multifractal analysis of some inhomogeneous multinomial measures with distinct analytic Olsen's $b$ and $B$ functions

Cited by in corpus (3)

• On the projections of the multifractal packing dimension for q>1
• On the projections of mutual multifractal spectra
• On the projections of the multifractal Hewitt-Stromberg dimension functions