Some remarks on Bochner-Riesz means
Volume 83 / 2000
Colloquium Mathematicum 83 (2000), 217-230
DOI: 10.4064/cm-83-2-217-230
Abstract
We study $L^p$ norm convergence of Bochner-Riesz means $S_R^δ f$ associated with certain non-negative differential operators. When the kernel $S_R^m(x,y)$ satisfies a weak estimate for large values of m we prove $L^p$ norm convergence of $S_R^δ f$ for δ > n|1/p-1/2|, 1 < p < ∞, where n is the dimension of the underlying manifold.
