Boundedness of some multi-parameter fiber-wise multiplier operators

2020/07/05 by Frédéric Bernicot, Bernicot, Frédéric, Polona Durcik +1
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Primary 42B15 #Secondary 42B20 #Spectral Theory in Mathematical Physics

paper · doi:10.48550/arxiv.2007.02211

openalex publication_date 2020/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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