Uniform estimates for bilinear Hilbert transform and bilinear maximal functions associated to polynomials

Abstract

We study the bilinear Hilbert transform and bilinear maximal functions associated to polynomial curves and obtain uniform $L^r$ estimates for $r>\frac{d-1}{d}$ and this index is sharp up to the end point.

44 pages

References in corpus (1)

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

Cited by in corpus (1)

• Bilinear Hilbert transforms associated to plane curves