Journal of the American Mathematical Society

Author(s): Terence Tao; Ana Vargas; Luis Vega
Journal: J. Amer. Math. Soc. 11 (1998), 967-1000.
MSC (1991): Primary 42B10, 42B25
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Abstract: Bilinear restriction estimates have appeared in work of Bourgain, Klainerman, and Machedon. In this paper we develop the theory of these estimates (together with the analogues for Kakeya estimates). As a consequence we improve the

spherical restriction theorem of Wolff from

, and also obtain a sharp

spherical restriction theorem for $q> 4 - \frac{5}{27}$ .

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Retrieve articles in Journal of the American Mathematical Society with MSC (1991): 42B10, 42B25

Terence Tao
Affiliation: Department of Mathematics, University of California--Los Angeles, Los Angeles, California 90024
Email: tao@math.ucla.edu

Ana Vargas
Affiliation: Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain
Email: ana.vargas@uam.es

Luis Vega
Affiliation: Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, 48080, Bilbao, Spain
Email: mtpvegol@lg.ehu.es

DOI: 10.1090/S0894-0347-98-00278-1
PII: S 0894-0347(98)00278-1
Keywords: Restriction conjecture, bilinear estimates, Kakeya conjecture
Received by editor(s): February 20, 1998
Additional Notes: The second author was partially supported by the Spanish DGICYT (grant number PB94-149) and the European Commission via the TMR network (Harmonic Analysis).
Copyright of article: Copyright 1998, American Mathematical Society

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ISSN: 1088-6834(e) ISSN: 0894-0347(p)

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