Singular spherical maximal operators on a class of degenerate two-step nilpotent Lie groups

DOI10.1007/s00209-023-03274-xzbMath1527.42029arXiv2207.12725MaRDI QIDQ6038688

Naijia Liu, Li Xin Yan

Publication date: 2 May 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.12725

zbMATH Keywords

Gaussian curvatureoscillatory integralsdegenerate two step nilpotent Lie groupssingular spherical maximal operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Cites Work

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• Averages in the plane over convex curves and maximal operators
• 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
• \(L^p\)-Sobolev estimates for a class of integral operators with folding canonical relations
• Spherical means on the Heisenberg group: stability of a maximal function estimate
• Oscillatory integrals and multipliers on FL\(^p\)
• L p regularity of averages over curves and bounds for associated maximal operators
• Maximal functions: Spherical means
• Problems in harmonic analysis related to curvature
• The spherical maximal function on the free two-step nilpotent Lie group

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