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arXiv · 1308.3518

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

Xiaochun Li·Lechao Xiao
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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.

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Xiaochun Li, Lechao Xiao. 2013-08-15. Uniform estimates for bilinear Hilbert transform and bilinear maximal functions associated to polynomials. https://arxiv.org/abs/1308.3518

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