Bilinear Hilbert transforms along curves I. The monomial case
Classical Analysis and ODEs
2008-07-10 v2
Abstract
We establish an L^2 \times L^2 to L^1 estimate for the bilinear Hilbert transform along a curve defined by a monomial. Our proof is closely related to multi-linear oscillatory integrals.
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Cite
@article{arxiv.0805.0107,
title = {Bilinear Hilbert transforms along curves I. The monomial case},
author = {Xiaochun Li},
journal= {arXiv preprint arXiv:0805.0107},
year = {2008}
}
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