%0 Journal Article %T On the Boundedness of The Bilinear Hilbert Transform along "non-flat" smooth curves %A Victor Lie %J Mathematics %D 2011 %I arXiv %X We are proving $L^2(\R)\times L^2(\R)\,\rightarrow\,L^1(\R)$ bounds for the bilinear Hilbert transform $H_{\G}$ along curves $\Gamma=(t,-\gamma(t))$ with $\g$ being a smooth "non-flat" curve near zero and infinity. %U http://arxiv.org/abs/1110.3517v1