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Estimates for singular integrals and extrapolation

Volume 192 / 2009

Shuichi Sato Studia Mathematica 192 (2009), 219-233 MSC: Primary 42B20, 42B25. DOI: 10.4064/sm192-3-2

Abstract

We study singular integrals with rough kernels, which belong to a class of singular Radon transforms. We prove certain estimates for the singular integrals that are useful in an extrapolation argument. As an application, we prove $L^p$ boundedness of the singular integrals under a certain sharp size condition on their kernels.

Authors

  • Shuichi SatoDepartment of Mathematics
    Faculty of Education
    Kanazawa University
    Kanazawa 920-1192, Japan
    e-mail

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