A sharp Hörmander estimate for multi-parameter and multi-linear Fourier multiplier operators

2023/06/14 by Jiao Chen, Chen, Jiao, Danqing He +7
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2306.08462

openalex publication_date 2023/06/14 · openalex created_date 2023/06/17 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the Hörmander type theorems for the multi-linear and multi-parameter Fourier multipliers. When the multipliers are characterized by L^u-based Sobolev norms for 1

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