On the maximal function associated to the spherical means on the Heisenberg group
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Publication:2045865
zbMath1486.43007arXiv1812.11926MaRDI QIDQ2045865
Sourav Hait, Sayan Bagchi, Luz Roncal, Sundaram Thangavelu
Publication date: 16 August 2021
Published in: The New York Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.11926
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 (8)
The circular maximal operator on Heisenberg radial functions ⋮ \(L^p -L^q\) estimates for generalized spherical averages ⋮ Sparse domination of singular Radon transform ⋮ Some remarks on convex body domination ⋮ Spherical maximal operators on Heisenberg groups: Restricted dilation sets ⋮ Lacunary maximal functions on homogeneous groups ⋮ On the Korányi spherical maximal function on Heisenberg groups ⋮ Bilinear spherical maximal functions of product type
Cites Work
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- Sharp weighted norm estimates beyond Calderón-Zygmund theory
- Averages in the plane over convex curves and maximal operators
- Sharp weighted estimates for classical operators
- Mean Cesaro summability of Laguerre expansions and norm estimates with shifted parameter
- Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform
- 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
- An optimal theorem for the spherical maximal operator on the Heisenberg group
- Singular spherical maximal operators on a class of two step nilpotent Lie groups
- Sparse bounds for pseudodifferential operators
- On the lacunary spherical maximal function on the Heisenberg group
- Sparse bounds for spherical maximal functions
- Systems of dyadic cubes in a doubling metric space
- Interpolation of Linear Operators
- Harmonic Analysis in Phase Space. (AM-122)
- Maximal functions: Spherical means
- Classical Fourier Analysis
- Mean Convergence of Hermite and Laguerre Series. I
- Convolutions with Kernels Having Singularities on a Sphere
- Operators on Hilbert space
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