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Rough Singular Integrals Associated to Surfaces of Revolution on Product Spaces

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摘要 We study the Lp boundedness of singular integral operators along surfaces of revolution on product spaces.The Lp boundedness for these operators are obtained under very weak conditions on kernels.Our results are new and they improve several previously known results.Furthermore,they are natural extensions of many known results on singular integrals in the one-parameter setting and they subsume many other corresponding results on the product space setting.
出处 《Acta Mathematica Sinica,English Series》 2025年第11期2816-2828,共13页 数学学报(英文版)
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  • 1Lung-Kee Chen,Dashan Fan.On singular integrals along surfaces related to black spaces[J].Integral Equations and Operator Theory.1997(3)
  • 2Javier Duoandikoetxea,José L. Rubio de Francia.Maximal and singular integral operators via Fourier transform estimates[J].Inventiones Mathematicae.1986(3)

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