Applications of an inverse Abel transform for Jacobi analysis: weak-\(L^1\) estimates and the Kunze-Stein phenomenon

DOI10.3836/TJM/1502179242zbMath1404.43012OpenAlexW2768625076MaRDI QIDQ1989644

Takeshi Kawazoe

Publication date: 26 October 2018

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

Full work available at URL: https://doi.org/10.3836/tjm/1502179242

zbMATH Keywords

convolutionJacobi analysisKunze-Stein phenomenonAbel transformPoisson maximal operatorweak \(L^1\) estimates

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Analysis on real and complex Lie groups (22E30) Harmonic analysis on hypergroups (43A62) Integral transforms, operational calculus (44A99)

Related Items (2)

An endpoint estimate of the Kunze-Stein phenomenon on \(\operatorname{SU}(n,m)\) ⋮ Singular integral operators of convolution type on Jacobi hypergroup

Cites Work

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• L ^p -multipliers for Noncompact Symmetric Spaces
• Maximal Functions Associated with The Jacobi Transform
• The Kunze-Stein phenomenon associated with Jacobi transforms

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