Spherical means and measures with finite energy
Volume 114 / 2009
Colloquium Mathematicum 114 (2009), 9-13
MSC: Primary 42B25.
DOI: 10.4064/cm114-1-2
Abstract
We prove a restricted weak type inequality for the spherical means operator with respect to measures with finite $\alpha $-energy, $\alpha \leq 1$. This complements recent results due to D. Oberlin.
