We prove a restricted weak type inequality for the spherical means operator with respect to measures with finite α-energy, α ≤ 1. This complements recent results due to D. Oberlin.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-1-2,
author = {Themis Mitsis},
title = {Spherical means and measures with finite energy},
journal = {Colloquium Mathematicae},
volume = {116},
year = {2009},
pages = {9-13},
zbl = {1231.42012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-1-2}
}
Themis Mitsis. Spherical means and measures with finite energy. Colloquium Mathematicae, Tome 116 (2009) pp. 9-13. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-1-2/