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Keywords:
Bessel capacity; fractional maximal operator; Hausdorff measure; non-negative Radon measure; Riesz potential
Bessel capacity; fractional maximal operator; Hausdorff measure; non-negative Radon measure; Riesz potential
Summary:
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.
References:
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