Mathematical Research Letters

Volume 6, Issue 2, March 1999 pp. 237-249.

Maximal functions and Hilbert Transforms along variable flat curves

Authors: Anthony Carbery and Sonsoles Pérez
Author institution: University of Edinburgh, and Universidad Autónoma de Madrid

Summary: In this work we establish $L^p$ boundedness for maximal functions and Hilbert transforms along variable curves in the plane, via $L^2$ estimates for certain singular integral operators with oscillatory terms.

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