A note on weighted bounds for rough singular integrals

DOI10.1016/j.crma.2017.11.016zbMath1395.42035arXiv1709.08261OpenAlexW2963181146MaRDI QIDQ1704649

Andrei K. Lerner

Publication date: 12 March 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08261

zbMATH Keywords

maximal operatorrough singular integralmaximal singular integralweighed bounds

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (7)

Quantitative weighted bounds for singular integrals and fractional differentiations ⋮ Quantitative weighted bounds for Calderón commutators with rough kernels ⋮ \(L^p\) estimates and weighted estimates of fractional maximal rough singular integrals on homogeneous groups ⋮ On the composition of rough singular integral operators ⋮ Quantitative weighted bounds for the \(q\)-variation of singular integrals with rough kernels ⋮ Unnamed Item ⋮ On composition of maximal operator and Bochner-Riesz operator at the critical index

Cites Work

• Quantitative weighted estimates for rough homogeneous singular integrals
• Maximal and singular integral operators via Fourier transform estimates
• Sparse bounds for maximal rough singular integrals via the Fourier transform
• Optimal exponents in weighted estimates without examples
• A sparse domination principle for rough singular integrals
• On Singular Integrals
• Modern Fourier Analysis
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• Singular integral operators with rough convolution kernels
• Note on the class LlogL

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