Published February 2021
| Accepted Version + Published
Journal Article
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Averages of simplex Hilbert transforms
- Creators
- Durcik, Polona
- Roos, Joris
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 L^p bounds in dimensions two and three and give a conditional result valid in all dimensions.
Additional Information
© 2020 American Mathematical Society. Received by the editors December 31, 2018. Article electronically published on December 7, 2020. We thank Vjeko Kovač for helpful comments on a preliminary draft and Lenka Slavíková for pointing out an inaccuracy in a previous version of this paper.Attached Files
Published - S0002-9939-2020-15196-9.pdf
Accepted Version - 1812.11701.pdf
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S0002-9939-2020-15196-9.pdf
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Additional details
- Eprint ID
- 108111
- Resolver ID
- CaltechAUTHORS:20210218-155700436
- Created
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2021-02-19Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field