Geodesic
Estimates for singular integrals and extrapolation
Shuichi Sato1
1Department of Mathematics Faculty of Education Kanazawa University Kanazawa 920-1192, Japan
Studia Mathematica, Tome 192 (2009) no. 3, pp. 219-233
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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.
DOI : 10.4064/sm192-3-2
Keywords: study singular integrals rough kernels which belong class singular radon transforms prove certain estimates singular integrals useful extrapolation argument application prove boundedness singular integrals under certain sharp size condition their kernels

Shuichi Sato  1

1 Department of Mathematics Faculty of Education Kanazawa University Kanazawa 920-1192, Japan 
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Shuichi Sato. Estimates for singular integrals and extrapolation. Studia Mathematica, Tome 192 (2009) no. 3, pp. 219-233. doi: 10.4064/sm192-3-2

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