Boundedness of some multi-parameter fiber-wise multiplier operators

preprint2020arXivOpen access

We prove $L^p$ 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 arXiv:1011.6140.

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Boundedness of some multi-parameter fiber-wise multiplier operators

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