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Sparse domination of Hilbert transforms along curves

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arxiv 1704.07810 v1 pith:JDDUYFGM submitted 2017-04-25 math.CA

Laura Cladek , Yumeng Ou This is my paper · ORCID
classification math.CA
keywords curvesalonghilbertsparsetransformsarbitraryboundsconsider
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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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Cited by 1 Pith paper

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  1. A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics

    quant-ph 2025-12 reject novelty 4.0 of 10

    A Fisher-information action can reproduce the Schrödinger equation, but the claimed derivation of the Born rule without collapse assumes the probability interpretation it purports to derive.

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