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arXiv · 1507.05570

Two weight $L^p$ estimates for paraproducts in non-homogeneous settings

Jingguo Lai·Sergei Treil
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Abstract

We give a necessary and sufficient condition for the two weight $L^p$-estimates for paraproducts in non-homogeneous settings, $1 2$ both "direct" and "adjoint" testing conditions are needed. An interesting feature is that the "adjoint" testing condition is that it is a testing condition not for the adjoint of the paraproduct, but for some auxiliary operator.

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Jingguo Lai, Sergei Treil. 2015-07-20. Two weight $L^p$ estimates for paraproducts in non-homogeneous settings. https://arxiv.org/abs/1507.05570

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