Abstract
In this paper, we prove an analog of Younis’s result [Int J Math Math Sci 9(2): 301–312 1986, Theorem 5.2] on the image under the Fourier–Helgason transform of a set of functions satisfying the Dini–Lipschitz functions in \({L^{p} (1 < p \leq 2)}\) for functions on noncompact rank 1 Riemannian symmetric spaces.
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