Genuinely multilinear weighted estimates for singular integrals in product spaces

2020/11/09 by Kangwei Li, Li, Kangwei, Henri Martikainen +3
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2011.04459

openalex publication_date 2020/11/09 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28

Abstract

We prove genuinely multilinear weighted estimates for singular integrals in product spaces. The estimates complete the qualitative weighted theory in this setting. Such estimates were previously known only in the one-parameter situation. Extrapolation gives powerful applications -- for example, a free access to mixed-norm estimates in the full range of exponents.

Citations

• Multilinear Calderón–Zygmund Theory
• New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory
• Modern singular integral theory with mild kernel regularity

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• Weighted norm inequalities for multilinear singular integral operators and applications
• Modern singular integral theory with mild kernel regularity
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