Strongly singular integral operators associated to different quasi-norms on the Heisenberg group

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dc.creatorLaghi, Norberto
dc.creatorLyall, Neil
dc.date2006-10-30
dc.date.accessioned2026-07-07T07:29:36Z
dc.date.available2026-07-07T07:29:36Z
dc.descriptionIn this article we study the behavior of strongly singular integrals associated to three different, albeit equivalent, quasi-norms on Heisenberg groups; these quasi-norms give rise to phase functions whose mixed Hessians may or may not drop rank along suitable varieties. In the particular case of the Koranyi norm we improve on previous arguments of the second author and obtain sharp $L^2$ estimates for the associated operators.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0610909
dc.identifierhttp://arxiv.org/abs/math/0610909
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118173
dc.subjectClassical Analysis and ODEs
dc.subject42B20, 43A80
dc.titleStrongly singular integral operators associated to different quasi-norms on the Heisenberg group
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