Singular Radon transforms and maximal functions under convexity assumptions

Andreas Seeger; Stephen Wainger

doi:rmi/1077293813

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Home > Journals > Rev. Mat. Iberoamericana > Volume 19 > Issue 3 > Article

December, 2003 Singular Radon transforms and maximal functions under convexity assumptions

Andreas Seeger, Stephen Wainger

Rev. Mat. Iberoamericana 19(3): 1019-1044 (December, 2003).

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Abstract

We prove variable coefficient analogues of results in [CCCDRVWW86] on Hilbert transforms and maximal functions along convex curves in the plane.

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Andreas Seeger. Stephen Wainger. "Singular Radon transforms and maximal functions under convexity assumptions." Rev. Mat. Iberoamericana 19 (3) 1019 - 1044, December, 2003.

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Published: December, 2003

First available in Project Euclid: 20 February 2004

zbMATH: 1071.42012

MathSciNet: MR2053571

Subjects:

Primary: 42B20 , 42B25

Keywords: angular Littlewood-Paley decomposition , Hilbert transforms along curves , Singular Radon transforms

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Rev. Mat. Iberoamericana

Vol.19 • No. 3 • December, 2003

Real Sociedad Matemática Española

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Andreas Seeger, Stephen Wainger "Singular Radon transforms and maximal functions under convexity assumptions," Revista Matemática Iberoamericana, Rev. Mat. Iberoamericana 19(3), 1019-1044, (December, 2003)

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