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math.CA2022★ 3 cited
Spherical maximal operators on Heisenberg groups: Restricted dilation sets
Joris Roos, Andreas Seeger, Rajula Srivastava
Consider spherical means on the Heisenberg group with a codimension two incidence relation, and associated spherical local maximal functions where the dilations are restrict…
math.CA2022
On the Korányi Spherical maximal function on Heisenberg groups
Rajula Srivastava
We prove estimates for the local maximal operator associated with dilates of the Kóranyi sphere in Heisenberg groups. These estimates are sharp up to endpoints and imp…