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

AbstractIn this paper we study the behavior of general integral operators on weighted Lp 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]