Rough singular integrals associated to surfaces of revolution

DOI10.1090/S0002-9939-01-05893-2zbMath0976.42009MaRDI QIDQ2723489

Pan, Yibiao, Lu, Shanzhen, Da Chun Yang

Publication date: 5 July 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hardy spacerough kernelsingular integralmaximal operatorcurvesurface of revolutionCalderón-Zygmund type kernel

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (12)

Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces of revolution ⋮ \(L^p\) bounds for the parabolic singular integral operator ⋮ On singular integrals and maximal operators along surfaces of revolution on product domains ⋮ \(L^p\)-estimates for the rough singular integrals associated to surfaces ⋮ Rough singular integrals associated with surfaces of Van der Corput type ⋮ \(L^p\) estimates for rough singular integrals associated to some hypersurfaces ⋮ Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces ⋮ Singular integrals along surfaces on product domains ⋮ Boundedness of singular integrals along surfaces on Lebesgue spaces ⋮ \(L^{p}\) bounds for Marcinkiewicz integrals associated to surfaces of revolution ⋮ Maximal functions associated to surfaces of revolution on product domains ⋮ Maximal singular integral operators along surfaces

Cites Work

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• Extensions of Hardy spaces and their use in analysis
• Problems in harmonic analysis related to curvature
• Singular integral operators with rough kernels supported by subvarieties
• Singular Integrals and Maximal Functions Associated to Surfaces of Revolution

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