On Lp-improving for averages associated to mixed homogeneous polynomial hypersurfaces in R3

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dc.contributor.authorDendrinos, Spyridon
dc.contributor.authorZimmermann, Eugen
dc.contributor.funderDeutsche Forschungsgemeinschaften
dc.date.accessioned2019-08-15T10:48:57Z
dc.date.available2019-08-15T10:48:57Z
dc.date.issued2019-07-12
dc.date.updated2019-08-15T10:35:12Z
dc.description.abstractWe establish Lp-Lq estimates for averaging operators associated to mixed homogeneous polynomial hypersurfaces in R3. These are described in terms of the mixed homogeneity and the order of vanishing of the polynomial hypersurface and its Gaussian curvature transversally to their zero sets.en
dc.description.sponsorshipDeutsche Forschungsgemeinschaft (grant DE1517/2-1)en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationDendrinos, S. and Zimmermann, E. (2019) 'On Lp-improving for averages associated to mixed homogeneous polynomial hypersurfaces in ℝ3', Journal d'Analyse Mathématique, In Press, doi: 10.1007/s11854-019-0032-8en
dc.identifier.doi10.1007/s11854-019-0032-8en
dc.identifier.endpage33en
dc.identifier.issn1565-8538
dc.identifier.journaltitleJournal d'Analyse Mathématiqueen
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/8323
dc.language.isoenen
dc.publisherSpringeren
dc.relation.urihttps://link.springer.com/article/10.1007/s11854-019-0032-8
dc.rights© The Hebrew University of Jerusalem 2019. Published by Springer. This is a post-peer-review, pre-copyedit version of an article published in Journal d'Analyse Mathématique. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11854-019-0032-8en
dc.subjectHausdorff dimensionen
dc.subjectOscillatory integralsen
dc.subjectEstimateen
dc.subjectGaussian curvatureen
dc.titleOn Lp-improving for averages associated to mixed homogeneous polynomial hypersurfaces in R3en
dc.typeArticle (peer-reviewed)en
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