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On Lp-improving for averages associated to mixed homogeneous polynomial hypersurfaces in R3
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Date
2019-07-12
Authors
Dendrinos, Spyridon
Zimmermann, Eugen
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Springer
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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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Keywords
Hausdorff dimension , Oscillatory integrals , Estimate , Gaussian curvature
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
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© 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