On the lacunary spherical maximal function on the Heisenberg group

DOI10.1016/j.jfa.2020.108832zbMath1470.43011arXiv1912.11302OpenAlexW3094721890MaRDI QIDQ2215834

Pritam Ganguly, Sundaram Thangavelu

Publication date: 14 December 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11302

zbMATH Keywords

Heisenberg groupsparse domination\(L^p\)-improving estimatesweighted theoryKoranyi spherelacunary spherical means

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (5)

\(L^p -L^q\) estimates for generalized spherical averages ⋮ Spherical maximal operators on Heisenberg groups: Restricted dilation sets ⋮ Lacunary maximal functions on homogeneous groups ⋮ On the Korányi spherical maximal function on Heisenberg groups ⋮ On the maximal function associated to the spherical means on the Heisenberg group

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