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arXiv · 1110.3517

On the Boundedness of The Bilinear Hilbert Transform along "non-flat" smooth curves

Victor Lie
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Abstract

We are proving $L^2(\R)\times L^2(\R)\,\rightarrow\,L^1(\R)$ bounds for the bilinear Hilbert transform $H_Γ$ along curves $Γ=(t,-γ(t))$ with $γ$ being a smooth "non-flat" curve near zero and infinity.

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Victor Lie. 2015-12-31. On the Boundedness of The Bilinear Hilbert Transform along "non-flat" smooth curves. https://arxiv.org/abs/1110.3517

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