Document Type

Article

Publication Date

2022

Abstract

We prove Lp estimates for various multi-parameter bi- and trilinear operators with symbols acting on fibers of the two-dimensional functions. In particular, this yields estimates for the general bi-parameter form of the twisted paraproduct studied in [V. Kovač, Boundedness of the twisted paraproduct. Rev. Mat. Iberoam. 28 (2012), no. 4, 1143–1164.].

Comments

This is a pre-copy-editing, author-produced PDF of an article that later underwent peer review and was accepted for publication in Indiana University Mathematics Journal, volume 71, issue 5, in 2022. This article may not exactly replicate the final published version. The definitive publisher-authenticated version is available online at https://doi.org/10.1512/iumj.2022.71.9150.

Peer Reviewed

1

Copyright

Indiana University

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