Morrey spaces and boundedness of bessel-riesz operators

Abstract

The key purpose of this paper to show the boundedness of Bessel-Riesz operators in Morrey spaces defied on quasimetric measure spaces. To attain the result, we also investigate an influence of its kernel with different measures. The boundedness of Bessel-Riesz operators on Morrey spaces will be reproved by using different measure and a particular case of the Young inequality for convolutions.