Sparse domination of Hilbert transforms along curves

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.

15 pages

References in corpus (3)

• On pointwise estimates involving sparse operators
• The Sparse T1 Theorem
• Uniform sparse domination of singular integrals via dyadic shifts

Cited by in corpus (1)

• Multi-scale sparse domination