On the boundedness of the bilinear hilbert transform along “non-flat” smooth curves

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Abstract

We are proving L2(ℝ)×L2(ℝ) → L1(ℝ) bounds for the bilinear Hilbert transform HΓ along curves Γ = (t,−γ(t)) with γ being a smooth “non-flat” curve near zero and infinity.

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APA

Lie, V. (2015). On the boundedness of the bilinear hilbert transform along “non-flat” smooth curves. American Journal of Mathematics, 137(2), 313–363. https://doi.org/10.1353/ajm.2015.0013

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