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Boundedness properties for a class of integral operators including the index transforms and the operators with complex Gaussian kernels
Authors:Benito J. Gonzá  lez
Affiliation:Departamento de Análisis Matemático, Universidad de La Laguna, 38271 Canary Islands, Spain
Abstract:In 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].
Keywords:General integral operators   Index transforms   Complex Gaussian operators
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