The boundedness of Bessel-Riesz operators on generalized Morrey spaces
arXiv:1605.06723 · doi:10.1088/1742-6596/893/1/012014
Abstract
In this paper, we prove the boundedness of Bessel-Riesz operators on generalized Morrey spaces. The proof uses the usual dyadic decomposition, a Hedberg-type inequality for the operators, and the boundedness of Hardy-Littlewood maximal operator. Our results reveal that the norm of the operators is dominated by the norm of the kernels.
10 pages