Optimal L^p-L^q boundedness regions are derived for local maximal operators on homogeneous polynomial hypersurfaces in R^3, depending on height and level-set curve type, plus global estimates without transversality.
Li, Maximal functions associated with non-isotropic dilations of hypersurfaces in R3, J
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Maximal functions related to homogeneous hypersurfaces in $\mathbb{R}^3$
Optimal L^p-L^q boundedness regions are derived for local maximal operators on homogeneous polynomial hypersurfaces in R^3, depending on height and level-set curve type, plus global estimates without transversality.