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 \[ L^{2,1}(G)\ast L^{2,1}(G)\subseteq L^{2,\infty }(G). \] 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.
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