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

Spyridon Dendrinos; Eugen Zimmermann

doi:10.1007/s11854-019-0032-8

On L ^p-improving for averages associated to mixed homogeneous polynomial hypersurfaces in ℝ³

Spyridon Dendrinos
, Eugen Zimmermann

School of Mathematical Sciences

University College Cork

Research output: Contribution to journal › Article › peer-review

Abstract

We establish L^p-L^q 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.

Original language	English
Pages (from-to)	563-595
Number of pages	33
Journal	Journal d'Analyse Mathematique
Volume	138
Issue number	2
DOIs	https://doi.org/10.1007/s11854-019-0032-8
Publication status	Published - 1 Oct 2019

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https://hdl.handle.net/10468/8323Licence: CC BY-NC-ND

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title = "On L p-improving for averages associated to mixed homogeneous polynomial hypersurfaces in ℝ3 ",

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.",

author = "Spyridon Dendrinos and Eugen Zimmermann",

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AB - 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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On L ^p-improving for averages associated to mixed homogeneous polynomial hypersurfaces in ℝ³

Abstract

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