Averages of simplex Hilbert transforms
arXiv:1812.11701 · doi:10.1090/proc/15196
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 bounds in dimensions two and three and give a conditional result valid in all dimensions.
15 pages; corrected final version to appear in Proc. AMS