Regularity of multi-parameter Fourier integral operator

2020/07/05 by Zipeng Wang, Wang, Zipeng
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2007.02262

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

Abstract

We study a family of Fourier integral operators, by allowing their symbols to satisfy a multi-parameter differential inequality. We extend the sharp L^p-result obtained by Seeger, Sogge and Stein to product spaces.

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• Regularity of Fourier integrals on product spaces
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