Littlewood-Paley \(g\)-function on the Heisenberg group

DOI10.1007/s10114-004-0469-1zbMath1105.22003OpenAlexW2050460852MaRDI QIDQ2431894

Ruiqin Ma, He Ping Liu

Publication date: 24 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0469-1

zbMATH Keywords

Littlewood-Paley \(g\)-functionHeisenberg groupsub-Laplacian

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (5)

Remarks on \(g\)-functions on \(\mathbb H^n\) ⋮ Bilinear square spectral multipliers on stratified groups ⋮ Littlewood-Paley operators on spaces with variable exponent on homogeneous groups ⋮ Paley-Littlewood decomposition for sectorial operators and interpolation spaces ⋮ Unnamed Item

Cites Work

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• Riesz means for the sublaplacian on the Heisenberg group
• Zonal multipliers on the Heisenberg group
• Multipliers for Hermite expansions
• Harmonic analysis on the Heisenberg group
• Admissible wavelets associated with the Heisenberg group
• Harmonic Analysis in Phase Space. (AM-122)
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Multipliers for Spherical Harmonic Expansions

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