Boundedness of some multi-parameter fiber-wise multiplier operators

Frederic Bernicot (1) , Polona Durcik (2)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 CALTECH - California Institute of Technology

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.

Domaines: Analyse classique [math.CA]

Frederic Bernicot, Polona Durcik. Boundedness of some multi-parameter fiber-wise multiplier operators. Indiana University Mathematics Journal, 2020. ⟨hal-02896000⟩