\(L^1\) estimates for maximal functions and Riesz transform on real rank 1 semisimple Lie groups

DOI10.1006/jfan.1998.3256zbMath0911.22006OpenAlexW2077220455MaRDI QIDQ1268064

Takeshi Kawazoe

Publication date: 4 May 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1998.3256

zbMATH Keywords

Fourier multiplierssemisimple Lie groupRiesz transformAbel transformzonal spherical functionsheat and Poisson maximal operatorsradial maximal operator

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Harmonic analysis and spherical functions (43A90)

Related Items (2)

Atomic decomposition of a real Hardy space for Jacobi analysis ⋮ Hardy spaces and maximal operators on real rank one semisimple Lie groups. I

Cites Work

• Weak type \(L^ 1\) estimates for maximal functions on non-compact symmetric spaces
• Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces
• Harmonic analysis on real reductive groups
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• Transformees de Riesz et Fonctions Sommables
• L ^p -multipliers for Noncompact Symmetric Spaces
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
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