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A multilinear generalisation of the Cauchy-Schwarz inequality
Author(s):
Anthony
Carbery
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3141-3152.
MSC (2000):
Primary 05A20, 42B99
Posted:
June 16, 2004
MathSciNet review:
2073287
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Abstract:
We prove a multilinear inequality which in the bilinear case reduces to the Cauchy-Schwarz inequality. The inequality is combinatorial in nature and is closely related to one established by Katz and Tao in their work on dimensions of Kakeya sets. Although the inequality is ``elementary" in essence, the proof given is genuinely analytical insofar as limiting procedures are employed. Extensive remarks are made to place the inequality in context.
References:
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Additional Information:
Anthony
Carbery
Affiliation:
School of Mathematics, University of Edinburgh, James Clerk Maxwell Building, King's Buildings, Edinburgh EH9 3JZ, United Kingdom
Email:
A.Carbery@ed.ac.uk
DOI:
10.1090/S0002-9939-04-07565-3
PII:
S 0002-9939(04)07565-3
Received by editor(s):
June 12, 2003
Posted:
June 16, 2004
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2004,
American Mathematical Society
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