Hardy spaces and maximal operators on real rank one semisimple Lie groups. I

DOI10.2748/TMJ/1178224654zbMath0952.22004OpenAlexW2082147219WikidataQ115227283 ScholiaQ115227283MaRDI QIDQ1572908

Takeshi Kawazoe

Publication date: 14 January 2001

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224654

zbMATH Keywords

atomic Hardy spaceRiemannian symmetric spacemodified heat and modified Poisson maximal operatorsmodified radial maximal operatorsemisimple Lie group of rank one

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Other transformations of harmonic type (42C20)

Related Items (2)

On a weak \(L^1\) property of maximal operators on non-compact semisimple Lie groups ⋮ Atomic decomposition of a real Hardy space for Jacobi analysis

Cites Work

• Unnamed Item
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• 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
• \(L^1\) estimates for maximal functions and Riesz transform on real rank 1 semisimple Lie groups
• The convolution structure for Jacobi function expansions
• 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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