Restriction for flat surfaces of revolution in

Authors:
A. Carbery, C. Kenig and S. Ziesler

Journal:
Proc. Amer. Math. Soc. **135** (2007), 1905-1914

MSC (2000):
Primary 42B99

DOI:
https://doi.org/10.1090/S0002-9939-07-08689-3

Published electronically:
January 9, 2007

MathSciNet review:
2286103

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Abstract | References | Similar Articles | Additional Information

Abstract: We investigate restriction theorems for hypersurfaces of revolution in with affine curvature introduced as a mitigating factor. Abi-Khuzam and Shayya recently showed that a Stein-Tomas restriction theorem can be obtained for a class of convex hypersurfaces that includes the surfaces We enlarge their class of hypersurfaces and give a much simplified proof of their result.

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Additional Information

**A. Carbery**

Affiliation:
Department of Mathematics, University of Edinburgh, Edinburgh EH9 2BJ, United Kingdom

Email:
a.carbery@ed.ac.uk

**C. Kenig**

Affiliation:
Department of Mathematics, University of Chicago, Chicago, Illinois 60637

Email:
cek@math.uchicago.edu

**S. Ziesler**

Affiliation:
Department of Mathematics, University of Chicago, Chicago, Illinois 60637

Email:
ziesler@math.uchicago.edu

DOI:
https://doi.org/10.1090/S0002-9939-07-08689-3

Received by editor(s):
December 7, 2005

Received by editor(s) in revised form:
February 27, 2006

Published electronically:
January 9, 2007

Additional Notes:
The first author was supported in part by a Leverhulme Study Abroad Fellowship

The second author was supported in part by an NSF grant

Communicated by:
Andreas Seeger

Article copyright:
© Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.