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arXiv · 1704.07810

Sparse domination of Hilbert transforms along curves

Laura Cladek·Yumeng Ou
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Abstract

We obtain sharp sparse bounds for Hilbert transforms along curves in $\mathbb{R}^n$, and derive as corollaries weighted norm inequalities for such operators. The curves that we consider include monomial curves and arbitrary $C^n$ curves with nonvanishing torsion.

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Laura Cladek, Yumeng Ou. 2017-04-25. Sparse domination of Hilbert transforms along curves. https://arxiv.org/abs/1704.07810

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