Spherical means on the Heisenberg group: Stability of a maximal function estimate

Theresa C. Anderson, Laura Cladek, Malabika Pramanik +1

Consider the surface measure $\mu$ on a sphere in a nonvertical hyperplane on the Heisenberg group ${\mathbb{H}}^n$, $n\ge 2$, and the convolution $f\ast \mu$. Form the associated maximal fu…