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math.CA2021
On a class of Hausdorff measure of cartesian product sets
Hajer Jebali, Riheb Guedri, Najmeddine Attia
In this paper, we study, in a separable metric space, a class of Hausdorff measures defined using a measure and a premeasure . We discuss a Hausdorff…
math.CA2021
A note on the generalized Hausdorff and packing measures of product sets in metric space
Rihab Guedri, Najmeddine Attia
Let and be two Borel probability measures on two separable metric spaces $\X$ and $\Y$ respectively. For be two Hausdorff functions and , we introduce and i…
math.CA2019
On the Hewitt Stromberg dimension of product sets
Najmeddine Attia
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 -dimensi…