Multilinear rough singular integral operators

2022/07/02 by Loukas Grafakos, Grafakos, Loukas, Danqing He +5 · 3 citations
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.2207.00764

openalex publication_date 2022/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study m-linear homogeneous rough singular integral operators L_Ω associated with integrable functions Ω on \mathbbS^mn-1 with mean value zero. We prove boundedness for L_Ω from L^p₁× ⋯ × L^p_m to L^p when 1

Cited by

• The Interplay of Shifted Square and Maximal Function Estimates in the Context of Multilinear Fourier Multipliers
• Sharp bilinear estimates for maximal singular integrals with kernels in weighted L^q spaces
• An alternate approach to bilinear rough singular integrals

Related

• Weighted estimates for Multilinear Singular Integrals with Rough Kernels
• Multilinear estimates for maximal rough singular integrals
• Multilinear singular integrals with homogeneous kernels near L¹
• L^p bounds for singular integrals and maximal singular integrals with\n rough kernels
• Sparse domination for rough multilinear singular integrals