On the norm of the Beurling-Ahlfors operator in several dimensions

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dc.creatorHytönen, Tuomas
dc.date2008-09-18
dc.date.accessioned2026-07-07T10:03:44Z
dc.date.available2026-07-07T10:03:44Z
dc.descriptionThe Lp operator norm of the generalized Beurling-Ahlfors transformation in n variables is at most (n/2+1)(p-1) for p>2. This improves on earlier results in all dimensions n>2. The proof is based on the heat extension and relies at the bottom on Burkholder's sharp inequality for martingale transforms.
dc.description12 pages, submitted for publication
dc.identifierhttps://arxiv.org/abs/0809.3127
dc.identifierhttp://arxiv.org/abs/0809.3127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169401
dc.subjectClassical Analysis and ODEs
dc.subjectProbability
dc.subject42B20; 60G46
dc.titleOn the norm of the Beurling-Ahlfors operator in several dimensions
dc.typetext

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