On $L^p$-improving for averages associated to mixed homogeneous polynomial hypersurfaces in $mathbb{R}^3$
On $L^p$-improving for averages associated to mixed homogeneous polynomial hypersurfaces in $mathbb{R}^3$
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在$L^p$上-改进与$mathbb{R}^3$中的混合齐次多项式超曲面相关的平均值
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
E. Zimmermann
中科院分区：
文献类型：
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作者：
S. Dendrinos;E. Zimmermann
我们建立了$mathbb{R}^3$中与混合齐次多项式超曲面相关的平均算子的$L^p-L^q$估计。这些是用多项式超曲面及其高斯曲率横向于零集的混合均匀性和消失阶来描述的。
We establish $L^p-L^q$ estimates for averaging operators associated to mixed homogeneous polynomial hypersurfaces in $mathbb{R}^3$. 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.