Vector-valued Hausdorff-Young inequality on compact groups

dc.creatorGarcía-Cuerva, José
dc.creatorParcet, Javier
dc.date2003-12-11
dc.date2003-12-11
dc.date.accessioned2026-07-07T05:03:49Z
dc.date.available2026-07-07T05:03:49Z
dc.descriptionThe main purpose of this paper is to study the validity of the Hausdorff-Young inequality for vector-valued functions defined on a non-commutative compact group. The natural context for this research is that of operator spaces. This leads us to formulate a whole new theory of Fourier type and cotype for the category of operator spaces. The present paper is the first step in this program, where the basic theory is presented, the main examples are analyzed and some questions are posed.
dc.descriptionTo appear in Proc. London. Math. Soc. 30 pages
dc.identifierhttps://arxiv.org/abs/math/0312241
dc.identifierhttp://arxiv.org/abs/math/0312241
dc.identifierProc. London Math. Soc. 88 (2004), 796-816.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69570
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.subject43A77; 46L07
dc.titleVector-valued Hausdorff-Young inequality on compact groups
dc.typetext

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