WEIGHTED L p -BOUNDEDNESS OF SINGULAR INTEGRALS WITH ROUGH KERNEL ASSOCIATED TO SURFACES

DOI10.4134/JKMS.J190845zbMath1468.42016OpenAlexW3176839301MaRDI QIDQ5001885

Ronghui Liu, Huo Xiong Wu

Publication date: 23 July 2021

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=DBSHBB&py=2021&vnc=v58n1&sp=69

zbMATH Keywords

maximal operatorssingular integralsweighted norm inequalitiesrough kernels

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A remark on radial \(A_p\) weights
• On singular integral operators with rough kernel along surface
• Boundedness of singular integrals associated to surfaces of revolution on Triebel-Lizorkin spaces
• Weighted estimates for singular integrals via Fourier transform estimates
• Boundedness of the Marcinkiewicz integrals with rough kernel associated to surfaces
• Maximal and singular integral operators via Fourier transform estimates
• Weak type (1,1) bounds for rough operators
• A weighted norm inequality for rough singular integrals
• On the \(L^ p\) boundedness of Marcinkiewicz integrals.
• Weighted norm inequalities for a class of rough singular integrals
• On the existence of certain singular integrals
• Singular Integrals with Rough Kernels in L log L (S ^{n −1} )
• A Note on Singular Integrals
• On Singular Integrals
• Interpolation of Operators with Change of Measures
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• A note on singular integrals associated with a variable surface of revolution
• A Singular Integral
• Weighted Norm Inequalities for Homogeneous Singular Integrals
• Extensions of Hardy spaces and their use in analysis
• L^p bounds for singular integrals and maximal singular integrals with rough kernels
• A Note of a Rough Singular Integral Operator
• Singular integral operators with rough kernels supported by subvarieties
• WEIGHTED ESTIMATES FOR ROUGH PARAMETRIC MARCINKIEWICZ INTEGRALS

This page was built for publication: WEIGHTED L p -BOUNDEDNESS OF SINGULAR INTEGRALS WITH ROUGH KERNEL ASSOCIATED TO SURFACES