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Singular integrals with rough kernels along real-analytic submanifolds in Rn

Integral Equations and Operator Theory volume 33, pages 8–19 (1999)Cite this article

Abstract

L p mapping properties will be established in this paper for singular Radon transforms with rough kernels defined by translated of a real-analytic submanifold in Rn.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, 53201, Milwaukee, WI

    Dashan Fan

  2. Department of Mathematics, Southwest Missouri State University, 65804, Springfield, MO

    Kanghui Guo

  3. Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA

    Yibiao Pan

Authors
  1. Dashan Fan
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  2. Kanghui Guo
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  3. Yibiao Pan
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Additional information

Work in this paper was done during the second author's visit at the Department of Mathematics, University of Pittsburgh.

Supported in part by NSF Grant DMS-9622979.

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Fan, D., Guo, K. & Pan, Y. Singular integrals with rough kernels along real-analytic submanifolds in Rn . Integr equ oper theory 33, 8–19 (1999). https://doi.org/10.1007/BF01203079

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  • DOI: https://doi.org/10.1007/BF01203079

1991 Mathematics Subject Classification

  • Primary 42B20
  • Secondary 42B15
  • 42B25