An optimal theorem for the spherical maximal operator on the Heisenberg group
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Publication:1769176
DOI10.1007/BF02916713zbMath1062.43016OpenAlexW2039796546MaRDI QIDQ1769176
E. K. Narayanan, Sundaram Thangavelu
Publication date: 21 March 2005
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02916713
Maximal functions, Littlewood-Paley theory (42B25) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)
Related Items (12)
The circular maximal operator on Heisenberg radial functions ⋮ The heat kernel of the \(\tau \)-twisted Laplacian ⋮ 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 ⋮ 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 ⋮ A maximal Fourier integral operator and an application ⋮ On the maximal function associated to the spherical means on the Heisenberg group ⋮ Spherical means on the Heisenberg group: stability of a maximal function estimate ⋮ New Brezis-van Schaftingen-Yung-Sobolev type inequalities connected with maximal inequalities and one parameter families of operators
Cites Work
- Pointwise ergodic theorems for radial averages on the Heisenberg group
- Harmonic analysis on the Heisenberg group
- Local ergodic theorems for \(K\)-spherical averages on the Heisenberg group
- Singular spherical maximal operators on a class of two step nilpotent Lie groups
- Problems in harmonic analysis related to curvature
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