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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