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arXiv · 1812.11701

Averages of simplex Hilbert transforms

Polona Durcik·Joris Roos
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Abstract

We study a multilinear singular integral obtained by taking averages of simplex Hilbert transforms. This multilinear form is also closely related to Calder\'on commutators and the twisted paraproduct. We prove $L^p$ bounds in dimensions two and three and give a conditional result valid in all dimensions.

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Polona Durcik, Joris Roos. 2018-12-31. Averages of simplex Hilbert transforms. https://doi.org/10.1090/proc%2F15196

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