Geodesic
Some relations between Hewitt-Stromberg premeasure and Hewitt-Stromberg measure
Filomat, Tome 37 (2023) no. 1, p. 13

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DOI

Let K be a compact set of R n and t ≥ 0. In this paper, we discuss the relation between the t-dimensional Hewitt-Stromberg premeasure and measure denoted by H t and H t respectively. We prove : if H t (K) +∞ then H t (K) = H t (K) and if H t (K) = +∞, there exists a compact subset F of K such that H t (F) = H t (F) and H t (F) is close as we like to H t (K).
DOI : 10.2298/FIL2301013A
Classification : 28A78, 28A80
Keywords: Multifractal measures, Hewitt-Stromberg measures 
Najmeddine Attia; Omrane Guizani; Amal Mahjoub. Some relations between Hewitt-Stromberg premeasure and Hewitt-Stromberg measure. Filomat, Tome 37 (2023) no. 1, p. 13 . doi: 10.2298/FIL2301013A
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     title = {Some relations between {Hewitt-Stromberg} premeasure and {Hewitt-Stromberg} measure},
     journal = {Filomat},
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     year = {2023},
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     doi = {10.2298/FIL2301013A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2301013A/}
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