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arXiv · 2208.02774

Spherical maximal operators on Heisenberg groups: Restricted dilation sets

Joris Roos·Andreas Seeger·Rajula Srivastava
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Abstract

Consider spherical means on the Heisenberg group with a codimension two incidence relation, and associated spherical local maximal functions $M_Ef$ where the dilations are restricted to a set $E$. We prove $L^p\to L^q$ estimates for these maximal operators; the results depend on various notions of dimension of $E$.

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Joris Roos, Andreas Seeger, Rajula Srivastava. 2022-08-04. Spherical maximal operators on Heisenberg groups: Restricted dilation sets. https://doi.org/10.4064/sm220804-22-6

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