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L p bounds for singular integrals with rough kernels on product domains |
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| Authors: | Li Ma Da Shan Fan Huo Xiong Wu |
| Institution: | (1) School of Mathematics and Computer Sciences, Gannan Normal University, Ganzhou, 341000, P. R. China;(2) Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA;(3) School of Mathematical Sciences, Xiamen University, Xiamen, 361005, P. R. China |
| Abstract: | This paper is concerned with singular integral operators on product domains with rough kernels both along radial direction and on spherical surface. Some rather weaker size conditions, which imply the L p -boundedness of such operators for certain fixed p (1 < p < ∞), are given. |
| Keywords: | Singular integral rough kernel product domain Littlewood-Paley theory Fourier transform estimate |
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