Hilbert Transforms Along Curves in the Heisenberg Group

DOI10.1112/S0024611500012284zbMath1042.42009MaRDI QIDQ4487617

Joonil Kim

Publication date: 22 June 2000

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

zbMATH Keywords

maximal functionHeisenberg groups\(L^2\)-boundednessHilbert transform along curves

Mathematics Subject Classification ID

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

Related Items (6)

Singular Radon transforms and maximal functions under convexity assumptions ⋮ Two versions of the Nikodym maximal function on the Heisenberg group ⋮ Maximal functions associated to a family of flat curves in lacunary directions ⋮ Multiparameter singular integrals on the Heisenberg group: uniform estimates ⋮ \(L^p\)-estimates for singular integrals and maximal operators associated with flat curves on the Heisenberg group ⋮ Singular Radon transforms along odd curves on the Heisenberg group

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