Divergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform

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dc.creatorDemeter, Ciprian
dc.date2007-12-15
dc.date.accessioned2026-07-07T08:49:31Z
dc.date.available2026-07-07T08:49:31Z
dc.descriptionWe consider multilinear averages in ergodic theory and harmonic analysis and prove their divergence in some range of $L^p$ spaces, with $p$ close enough to 1. We also prove that the trilinear Hilbert transform is unbounded in a similar range of $L^p$ spaces.
dc.description12 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/0712.2494
dc.identifierhttp://arxiv.org/abs/0712.2494
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144325
dc.subjectClassical Analysis and ODEs
dc.subjectDynamical Systems
dc.titleDivergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform
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