On the Hewitt Stromberg dimension of product sets
Classical Analysis and ODEs
2024-01-09 v2
Abstract
In this paper, we construct new multifractal measures, on the Euclidean space , in a similar manner to Hewitt-Stomberg measures but using the class of all -dimensional half-open binary cubes of covering sets in the definition rather than the class of all balls. As an application we shall be concerned with evaluation of Hewitt-Stromberg dimension of cartesian product sets by means of the dimensions of their components.
Keywords
Cite
@article{arxiv.1911.11242,
title = {On the Hewitt Stromberg dimension of product sets},
author = {Najmeddine Attia},
journal= {arXiv preprint arXiv:1911.11242},
year = {2024}
}