Estimates for singular integrals on homogeneous groups

Details Estimates for singular integrals on homogeneous groups Estimates for singular integrals on homogeneous groups

2010-11-26

arxiv.org/abs/1011.5719v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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