# On a decomposition of non-negative Radon measures

Archivum Mathematicum (2019)

- Volume: 055, Issue: 4, page 203-210
- ISSN: 0044-8753

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topKpata, Bérenger Akon. "On a decomposition of non-negative Radon measures." Archivum Mathematicum 055.4 (2019): 203-210. <http://eudml.org/doc/294346>.

@article{Kpata2019,

abstract = {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.},

author = {Kpata, Bérenger Akon},

journal = {Archivum Mathematicum},

keywords = {Bessel capacity; fractional maximal operator; Hausdorff measure; non-negative Radon measure; Riesz potential},

language = {eng},

number = {4},

pages = {203-210},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {On a decomposition of non-negative Radon measures},

url = {http://eudml.org/doc/294346},

volume = {055},

year = {2019},

}

TY - JOUR

AU - Kpata, Bérenger Akon

TI - On a decomposition of non-negative Radon measures

JO - Archivum Mathematicum

PY - 2019

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 055

IS - 4

SP - 203

EP - 210

AB - 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.

LA - eng

KW - Bessel capacity; fractional maximal operator; Hausdorff measure; non-negative Radon measure; Riesz potential

UR - http://eudml.org/doc/294346

ER -

## References

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