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THE KUNZE-STEIN PHENOMENON ASSOCIATED WITH JACOBI TRANSFORMS

By Jianming Liu and Communicated Andreas Seeger

Abstract

Abstract. Recently A. D. Ionescu (2000) established the endpoint estimate for the Kunze-Stein phenomenon, which states that if G is a noncompact connected semisimple Lie group of real rank one with finite center, then L 2,1 (G) ∗ L 2,1 (G) ⊆ L 2, ∞ (G). In this paper, we will prove the corresponding result for the Jacobi transform. Our method is analytical, in which we do not use the structure of Lie groups. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.2432
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