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

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

Dendrinos, Spyridon; Zimmermann, Eugen
Date: 2019-07-12
Copyright: © 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/s11854-019-0032-8
Related: https://link.springer.com/article/10.1007/s11854-019-0032-8
Full text restriction information: Access to this article is restricted until 12 months after publication by request of the publisher.
Restriction lift date: 2020-07-12
Citation: Dendrinos, 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/s11854-019-0032-8
Published Version: 10.1007/s11854-019-0032-8

Abstract:

We 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.

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