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improving bounds for averages along curves
Author(s):
Terence
Tao;
James
Wright
Journal:
J. Amer. Math. Soc.
16
(2003),
605-638.
MSC (2000):
Primary 42B15
Posted:
January 28, 2003
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Abstract:
We establish local mapping properties for averages on curves. The exponents are sharp except for endpoints.
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Additional Information:
Terence
Tao
Affiliation:
Department of Mathematics, University of California, Los Angeles, Los Angeles, California 90095-1555
Email:
tao@math.ucla.edu
James
Wright
Affiliation:
School of Mathematics, University of Edinburgh, JCMB, King's Buildings, Mayfield Road, Edinburgh EH9 3JZ, Scotland
Email:
wright@maths.ed.ac.uk
DOI:
10.1090/S0894-0347-03-00420-X
PII:
S 0894-0347(03)00420-X
Keywords:
Radon transforms,
double fibration,
$L^p $ improving properties,
averaging operators
Received by editor(s):
March 19, 2002
Posted:
January 28, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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