Boundedness properties for a class of integral operators including the index transforms and the operators with complex Gaussian kernels

Abstract

In this paper we study the behavior of general integral operators on weighted L p spaces. Particular cases include the main index transforms and the operators with complex Gaussian kernels. We also extend some previous results established in [E.R. Negrin, Proc. Amer. Math. Soc. 123 (1995) 1185–1190].