Singular spherical maximal operators on a class of two step nilpotent Lie groups

Detlef Mueller, Andreas Seeger

Let $H^n\cong {\mathbb{R}}^{2n}⋉\mathbb{R}$ be the Heisenberg group and let ${\mu }_t$ be the normalized surface measure for the sphere of radius $t$ in ${\mathbb{R}}^{2n}$. Consider the maximal…