Norm estimates for Bessel-Riesz operators on generalized Morrey spaces

摘要

We revisit the properties of Bessel-Riesz operators and refine the proof ofthe boundedness of these operators on generalized Morrey spaces using Young'sinequality. We also obtain an estimate for the norm of these operators ongeneralized Morrey spaces. In addition, we reprove the boundedness offractional integral operators on generalized Morrey spaces and estimate theirnorm.