Erdélyi–Kober fractional integral operators on ball Banach function spaces

Abstract

We establish the boundedness of the Erdélyi-Kober fractional integral operators on ball Banach function spaces. In particular, it gives the boundedness of the Erdélyi-Kober fractional integral operators on amalgam spaces and Morrey spaces. Mathematics Subject Classification (2010). Primary: 26A33; Secondary: 46E30.