Geodesic
On a decomposition of non-negative Radon measures
Archivum mathematicum, Tome 55 (2019) no. 4, pp. 203-210 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We establish a decomposition of non-negative Radon measures on $\mathbb{R}^{d}$ which extends that obtained by Strichartz [6] in the setting of $\alpha $-dimensional measures. As consequences, we deduce some well-known properties concerning the density of non-negative Radon measures. Furthermore, some properties of non-negative Radon measures having their Riesz potential in a Lebesgue space are obtained.
We establish a decomposition of non-negative Radon measures on $\mathbb{R}^{d}$ which extends that obtained by Strichartz [6] in the setting of $\alpha $-dimensional measures. As consequences, we deduce some well-known properties concerning the density of non-negative Radon measures. Furthermore, some properties of non-negative Radon measures having their Riesz potential in a Lebesgue space are obtained.
DOI : 10.5817/AM2019-4-203
Classification : 28A12, 28A33, 28A78, 42B25
Keywords: Bessel capacity; fractional maximal operator; Hausdorff measure; non-negative Radon measure; Riesz potential 
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Kpata, Bérenger Akon. On a decomposition of non-negative Radon measures. Archivum mathematicum, Tome 55 (2019) no. 4, pp. 203-210. doi: 10.5817/AM2019-4-203

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