Sharp estimates of martingale transforms in higher dimensions and applications to the Ahlfors-Beurling operator

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dc.creatorDragicevic, Oliver
dc.creatorPetermichl, Stefanie
dc.creatorVolberg, Alexander
dc.date2006-05-31
dc.date.accessioned2026-07-07T07:14:41Z
dc.date.available2026-07-07T07:14:41Z
dc.descriptionThe main aspiration of this note is to construct several different Haar-type systems in euclidean spaces of higher dimensions and prove sharp Lp bounds for the corresponding martingale transforms. In dimension one this was a result of Burkholder. The motivation for working in this direction is the search for Lp estimates of the Ahlfors-Beurling operator.
dc.description41 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/math/0606006
dc.identifierhttp://arxiv.org/abs/math/0606006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112981
dc.subjectFunctional Analysis
dc.titleSharp estimates of martingale transforms in higher dimensions and applications to the Ahlfors-Beurling operator
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