Boundedness of singular integrals along surfaces on Lebesgue spaces |
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| Authors: | Yan-dan Zhang Jie-cheng Chen Chun-jie Zhang |
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| Affiliation: | [1]Department of Mathematics, Zhejiang University of Technology, Hangzhou 310023, China [2]Department of Mathematics, Zhejiang University, Hangzhou 310027, China [3]College of Science, Hangzhou Dianzi University, Hangzhou 310018, China |
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| Abstract: | In the paper,we establish the Lp(Rn+1)-boundedness for a class of singular integral operators associated to surfaces of revolution {(y,γ(|y|),y ∈ Rn} with rough kernels. We also give several applications of this inequality. |
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| Keywords: | Singular integrals surfaces rough kernels Plancherel's theorem oscillatory singular integrals |
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