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Hilbert transforms and maximal functions associated to flat curves on the Heisenberg group

By Anthony Carbery, Stephen Wainger and James Wright

Abstract

Suppose for each x in lR n y(x, t) is a smooth curve in lR n with y(x, 0) = x. For f E C;'(lR n), we define the Hilbert transform and maximal function associated to y(x, t) a

Year: 1995
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.2945
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