On $L^p$-improving for averages associated to mixed homogeneous polynomial hypersurfaces in ${\mathbb{R}}^3$

Spyridon Dendrinos, Eugen Zimmermann

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 homog…