Quantitative weighted bounds for Calderón commutator with rough kernel

2020/06/03 by Yanping Chen, Ji Li, Chen, Yanping +1
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2006.02301

openalex publication_date 2020/06/03 · openalex created_date 2020/06/12 · openalex updated_date 2026/07/28

Abstract

We consider weighted L^p(w) boundedness (1

Citations

• Weighted inequalities for the dyadic square function without dyadic A∞
• On commutators of singular integrals and bilinear singular integrals
• Calderón commutators and the Cauchy integral on Lipschitz curves revisited II. Cauchy integral and generalizations

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• Weighted bound for commutators
• L^p(ℝ^d) boundedness for the Calderón commutator with rough kernel
• Weighted Endpoint Estimates for Commutators of Calderón-Zygmund Operators
• Weighted L^p→ L^q-boundedness of commutators and paraproducts in the Bloom setting
• The boundedness of some operators with rough kernel on the weighted Morrey spaces