Affiliation: | Department of Mathematics, Beijing Normal University, Beijing 100875, The People's Republic of China ; Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong ; Department of Mathematics, Beijing Normal University, Beijing 100875, The People's Republic of China |
Abstract: | Let and . The authors establish the -boundedness for a class of singular integral operators associated to surfaces of revolution, , with rough kernels, provided that the corresponding maximal function along the plane curve is bounded on . |