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The Calderón commutator along a parabola

Published online by Cambridge University Press:  01 May 1999

ANTHONY CARBERY ,
STEVE HOFMANN  and
JAMES WRIGHT
ANTHONY CARBERY
Affiliation:
Department of Mathematics and Statistics, University of Edinburgh, Edinburgh EH9 3JZ
STEVE HOFMANN
Affiliation:
Department of Mathematics, University of Missouri, Columbia, MO 65211 USA
JAMES WRIGHT
Affiliation:
Department of Mathematics, University of New South Wales, Sydney, NSW 2052 Australia
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Abstract

We introduce an analogue of Calderón's first commutator along a parabola and establish its L2 boundedness under essentially sharp hypotheses.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 126 , Issue 3 , May 1999 , pp. 543 - 553
Copyright
The Cambridge Philosophical Society 1999

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Footnotes

The authors were supported in part by EPSRC. S. H. was supported in part by an NSF grant. J. W. was supported by an ARC grant. Research at MSRI was supported in part by NSF grant DMS-9701755.