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arXiv · 1403.5353

Bilinear Hilbert transforms associated to plane curves

Jingwei Guo·Lechao Xiao
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Abstract

We prove that the bilinear Hilbert transforms and maximal functions along certain general plane curves are bounded from $L^2(\mathbb{R})\times L^2(\mathbb{R})$ to $L^1(\mathbb{R})$.

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Jingwei Guo, Lechao Xiao. 2014-03-21. Bilinear Hilbert transforms associated to plane curves. https://arxiv.org/abs/1403.5353

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