The Kunze-Stein phenomenon associated with Jacobi transforms

DOI10.1090/S0002-9939-05-07754-3zbMath1062.43022MaRDI QIDQ4654134

Jian Ming Liu

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

convolutionJacobi transformKunze-Stein phenomenon

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analysis on real and complex Lie groups (22E30) Harmonic analysis and spherical functions (43A90)

Related Items (3)

Applications of an inverse Abel transform for Jacobi analysis: weak-\(L^1\) estimates and the Kunze-Stein phenomenon ⋮ The role of restriction theorems in harmonic analysis on harmonic \(NA\) groups ⋮ An endpoint estimate of the Kunze-Stein phenomenon on \(\operatorname{SU}(n,m)\)

Cites Work

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• Some function spaces on symmetric spaces related to convolution operators
• The Kunze-Stein phenomenon
• An endpoint estimate for the Kunze-Stein phenomenon and related maximal operators
• On L(p,q) spaces
• Maximal Functions Associated with The Jacobi Transform

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