Product kernels adapted to curves in the space

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dc.creatorCasarino, Valentina
dc.creatorCiatti, Paolo
dc.creatorSecco, Silvia
dc.date2009-05-24
dc.date.accessioned2026-07-07T13:17:51Z
dc.date.available2026-07-07T13:17:51Z
dc.descriptionWe establish $L^p$-boundedness for a class of operators that are given by convolution with product kernels adapted to curves in the space. The $L^p$ bounds follow from the decomposition of the adapted kernel into a sum of two kernels with sigularities concentrated respectively on a coordinate plane and along the curve. The proof of the $L^p$-estimates for the two corresponding operators involves Fourier analysis techniques and some algebraic tools, namely the Bernstein-Sato polynomials.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0905.3889
dc.identifierhttp://arxiv.org/abs/0905.3889
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231249
dc.subjectFunctional Analysis
dc.subject42B20, 44A35
dc.titleProduct kernels adapted to curves in the space
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