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On the Boundedness of The Bilinear Hilbert Transform along "non-flat" smooth curves
Published 16 Oct 2011 in math.CA | (1110.3517v2)
Abstract: We are proving $L2(\R)\times L2(\R)\,\rightarrow\,L1(\R)$ bounds for the bilinear Hilbert transform $H_{\Gamma}$ along curves $\Gamma=(t,-\gamma(t))$ with $\gamma$ being a smooth "non-flat" curve near zero and infinity.
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