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Published 2022 | public
Journal Article

Boundedness of Some Multi-Parameter Fiber-wise Multiplier Operators

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. https://doi.org/10.4171/RMI/707].

Additional Information

The first author is supported by the ERC project FAnFArE (no. 637510). The second author acknowledges the hospitality of Université de Nantes while this research was performed.

Additional details

Created:
August 20, 2023
Modified:
October 24, 2023