Maximal operators associated to discrete subgroups of nilpotent Lie groups

DOI10.1007/s11854-007-0010-4zbMath1149.22009OpenAlexW1969956581WikidataQ115377727 ScholiaQ115377727MaRDI QIDQ2474573

Elias M. Stein, Stephen Wainger, Ákos Magyar

Publication date: 6 March 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-007-0010-4

zbMATH Keywords

maximal operatorsnilpotent Lie groupspolynomial mappingbounded averages

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items

Discrete Radon transforms and applications to ergodic theory ⋮ On a multi-parameter variant of the Bellow–Furstenberg problem ⋮ Polynomial sequences in discrete nilpotent groups of step 2 ⋮ Polynomial averages and pointwise ergodic theorems on nilpotent groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
• On the maximal ergodic theorem for certain subsets of the integers
• On the pointwise ergodic theorem on \(L^ p\) for arithmetic sets
• Harmonic analysis on nilpotent groups and singular integrals. II: Singular kernels supported on submanifolds
• A nilpotent Roth theorem.
• Singular and maximal Radon transforms: Analysis and geometry
• Discrete Radon transforms and applications to ergodic theory
• $L^p$ boundedness of discrete singular Radon transforms
• ON A SPECIAL TRIGONOMETRIC SERIES AND ITS APPLICATIONS
• Discrete analogues in harmonic analysis, I: l 2[superscript estimates for singular radon transforms]
• Discrete analogues of singular Radon transforms