Averages of simplex Hilbert transforms

Polona  Durcik; Joris Roos

doi:10.1090/proc/15196

Averages of simplex Hilbert transforms

Polona Durcik, Joris Roos

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study a multilinear singular integral obtained by taking averages of simplex Hilbert transforms. This multilinear form is also closely related to Calderón commutators and the twisted paraproduct. We prove Lp bounds in dimensions two and three and give a conditional result valid in all dimensions.

Original language	English
Pages (from-to)	633-647
Journal	Proceedings of the american mathematical society
Volume	149
Early online date	7 Dec 2020
DOIs	https://doi.org/10.1090/proc/15196
Publication status	Published - 28 Feb 2021

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10.1090/proc/15196

1812.11701Accepted author manuscript, 207 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND)

https://arxiv.org/abs/1812.11701

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Averages of simplex Hilbert transforms

Abstract

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