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

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

2011-10-16

arxiv.org/abs/1110.3517v1

Mathematics

Classical Analysis and ODEs

31 pages, no figures

Scientific paper

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.

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