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arXiv · 1011.5719

Estimates for singular integrals on homogeneous groups

Shuichi Sato
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Abstract

We consider singular integral operators and maximal singular integral operators with rough kernels on homogeneous groups. We prove certain estimates for the operators that imply $L^p$ boundedness of them by an extrapolation argument under a sharp condition for the kernels. Also, we prove some weighted $L^p$ inequalities for the operators.

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Shuichi Sato. 2010-11-26. Estimates for singular integrals on homogeneous groups. https://arxiv.org/abs/1011.5719

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