Bilinear Hilbert transforms along curves, I: the monomial case

By Xiaochun Li. 2008

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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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ac2fb0b191221d24af6f430a82b921e7e6f03400