Estimates for singular integrals on homogeneous groups

2010/11/26 by Shūichi Satō, Sato, Shuichi
Mathematics · #42B20 #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.1011.5719

openalex publication_date 2010/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider singular integral operators and maximal singular integral operators with rough kernels on homogeneous groups. We prove certain estimates for the operators that imply L^p boundedness of them by an extrapolation argument under a sharp condition for the kernels. Also, we prove some weighted L^p inequalities for the operators.

Citations

• Parabolic maximal functions associated with a distribution, II

Related

• L^p estimates and weighted estimates of fractional maximal rough singular integrals on homogeneous groups
• Quantitative weighted estimates for rough singular integrals on homogeneous groups
• L^p bounds for singular integrals and maximal singular integrals with\n rough kernels
• Quantitative weighted estimates for rough homogeneous singular integrals
• Weighted estimates for Multilinear Singular Integrals with Rough Kernels