On a weak \(L^1\) property of maximal operators on non-compact semisimple Lie groups

DOI10.3836/tjm/1244208943zbMath1010.22014OpenAlexW2038181876MaRDI QIDQ696220

Jian Ming Liu, Takeshi Kawazoe

Publication date: 5 November 2002

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208943

zbMATH Keywords

maximal operatorssemisimple Lie groupsweak type inequality

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items

Applications of an inverse Abel transform for Jacobi analysis: weak-\(L^1\) estimates and the Kunze-Stein phenomenon, Hausdorff operators on real Hardy spaces \(H^1\) over homogeneous spaces with local doubling property

Cites Work

• Weak type \(L^ 1\) estimates for maximal functions on non-compact symmetric spaces
• Spherical functions and invariant differential operators on complex Grassmann manifolds
• Canonical representations related to hyperbolic spaces
• Hardy spaces and maximal operators on real rank one semisimple Lie groups. I
• The convolution structure for Jacobi function expansions
• L ^p -multipliers for Noncompact Symmetric Spaces
• Maximal Functions Associated with The Jacobi Transform
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
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