Pointwise ergodic theorems for radial averages on the Heisenberg group

DOI10.1006/aima.1997.1641zbMath0888.22002OpenAlexW2040393319MaRDI QIDQ1369695

Amos Nevo, Sundaram Thangavelu

Publication date: 8 June 1998

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1641

zbMATH Keywords

measure preserving transformationsHeisenberg groupspectral theoryLittlewood-Paley-Stein square functionsHeisenberg motion grouppointwise ergodic theoremsBorel probability space

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory on groups (22D40)

Related Items

Spherical maximal operator on symmetric spaces of constant curvature, Singular spherical maximal operators on a class of two step nilpotent Lie groups, A sampling theorem for the twisted shift-invariant space, The circular maximal operator on Heisenberg radial functions, Singular spherical maximal operators on a class of degenerate two-step nilpotent Lie groups, Spherical maximal operators on Heisenberg groups: Restricted dilation sets, Lacunary maximal functions on homogeneous groups, Analogues of theorems of Chernoff and Ingham on the Heisenberg group, On the Korányi spherical maximal function on Heisenberg groups, \(L^p-L^q\) estimates for the circular maximal operator on Heisenberg radial functions, On the lacunary spherical maximal function on the Heisenberg group, The behavior of the bounds of matrix-valued maximal inequality in \(\mathbb{R}^{n}\) for large \(n\), Quantitative ergodic theorems and their number-theoretic applications, An optimal theorem for the spherical maximal operator on the Heisenberg group, Random martingales and localization of maximal inequalities, On the maximal function associated to the spherical means on the Heisenberg group, Configuration sets with nonempty interior, Spherical means on the Heisenberg group: stability of a maximal function estimate

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