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math.CA2002
Singular Radon transforms and maximal functions under convexity assumptions
Andreas Seeger, Stephen Wainger
We prove variable coefficient versions of L^p boundedness results on Hilbert transforms and maximal functions along convex curves in the plane.
math.CA2002
Bounds for singular fractional integrals and related Fourier integral operators
Andreas Seeger, Stephen Wainger
We prove sharp L^p-L^q endpoint bounds for singular fractional integral operators and related Fourier integral operators, under the nonvanishing rotational curvature assumption.