Abstract
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 L p boundedness of these singular integral operators as well as the corresponding maximal truncated singular integral operators for some fixed 1 < p < ∞, are given.
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The research is supported by the NSF of China (Grant No. 10571122)
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Wu, H.X., Yang, S.Z. On multiple singular integrals along polynomial curves with rough kernels. Acta. Math. Sin.-English Ser. 24, 177–184 (2008). https://doi.org/10.1007/s10114-007-1005-x
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DOI: https://doi.org/10.1007/s10114-007-1005-x