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On Multiple Singular Integrals along Polynomial Curves with Rough Kernels 被引量:3

On Multiple Singular Integrals along Polynomial Curves with Rough Kernels
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摘要 This paper is devoted to the study of a class of singular integral operators defined by polynomial mappings on product domains. Some rather weak size conditions, which imply the Lp boundedness of these singular integral operators as well as the corresponding maximal truncated singular integral operators for some fixed 1〈p〈 ∞,are given. This paper is devoted to the study of a class of singular integral operators defined by polynomial mappings on product domains. Some rather weak size conditions, which imply the Lp boundedness of these singular integral operators as well as the corresponding maximal truncated singular integral operators for some fixed 1〈p〈 ∞,are given.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第2期177-184,共8页 数学学报(英文版)
基金 the NSF of China(Grant No.10571122)
关键词 singular integral product domain rough kernel Littlewood-Paley theory Fourier transform estimate singular integral, product domain, rough kernel, Littlewood-Paley theory, Fourier transform estimate
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