The circular maximal operator on Heisenberg radial functions
From MaRDI portal
Publication:5090309
DOI10.2422/2036-2145.202001_006zbMath1496.42022arXiv1912.11718OpenAlexW3140951958WikidataQ114041599 ScholiaQ114041599MaRDI QIDQ5090309
Andreas Seeger, Shaoming Guo, Jonathan Hickman, David Beltran
Publication date: 18 July 2022
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.11718
Maximal functions, Littlewood-Paley theory (42B25) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Fourier integral operators applied to PDEs (35S30)
Related Items
Spherical maximal operators on Heisenberg groups: Restricted dilation sets, Lacunary maximal functions on homogeneous groups, On the Korányi spherical maximal function on Heisenberg groups, Spherical means on the Heisenberg group: stability of a maximal function estimate
Cites Work
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- Averages in the plane over convex curves and maximal operators
- Local smoothing for operators failing the cinematic curvature condition
- Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle
- Hilbert transforms along curves. I: Nilpotent groups
- Propagation of singularities and maximal functions in the plane
- Wave front sets, local smoothing and Bourgain's circular maximal theorem
- Local smoothing estimates related to the circular maximal theorem
- \(L^2\) estimates for averaging operators along curves with two-sided \(k\)-fold singularities
- Pointwise ergodic theorems for radial 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
- A geometric proof of the circular maximal theorem
- On the maximal function associated to the spherical means on the Heisenberg group
- \(L^p\)-Sobolev estimates for a class of integral operators with folding canonical relations
- Spherical means on the Heisenberg group: stability of a maximal function estimate
- Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds
- On the boundedness of pseudo-differential operators
- Fourier integral operators. I
- Oscillatory integrals and multipliers on FL\(^p\)
- L p regularity of averages over curves and bounds for associated maximal operators
- Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
- Maximal functions: Spherical means
- Oscillatory integrals associated to folding canonical relations
- Sharp Local Smoothing Estimates for Fourier Integral Operators
