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/