A bilinear approach to the restriction and Kakeya conjectures

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dc.creatorTao, Terence
dc.creatorVargas, Ana
dc.creatorVega, Luis
dc.date1998-07-29
dc.date.accessioned2026-07-07T05:25:33Z
dc.date.available2026-07-07T05:25:33Z
dc.descriptionBilinear restriction estimates have been 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 $(L^p,L^p)$ spherical restriction theorem of Wolff from $p > 42/11$ to $p > 34/9$, and also obtain a sharp $(L^p,L^q)$ spherical restriction theorem for $q > 4 - 5/27$.
dc.description33 pages, 3 figures, LaTeX, to appear JAMS
dc.identifierhttps://arxiv.org/abs/math/9807163
dc.identifierhttp://arxiv.org/abs/math/9807163
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77222
dc.subjectClassical Analysis and ODEs
dc.subject42B10, 42B25
dc.titleA bilinear approach to the restriction and Kakeya conjectures
dc.typetext

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