On the Hewitt Stromberg dimension of product sets

التفاصيل البيبلوغرافية
العنوان: On the Hewitt Stromberg dimension of product sets
المؤلفون: Attia, Najmeddine
سنة النشر: 2019
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Classical Analysis and ODEs
الوصف: In this paper, we construct new multifractal measures, on the Euclidean space $\mathbb{R}^n$, in a similar manner to Hewitt-Stomberg measures but using the class of all $n$-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.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1911.11242
رقم الأكسشن: edsarx.1911.11242
قاعدة البيانات: arXiv