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MR717229 (85j:44005) 44A15 (43A32)
Oberlin, Daniel M. $L\sp{p}-L\sp{q}$ mapping properties of the Radon transform. Banach spaces, harmonic analysis, and probability theory (Storrs, Conn., 1980/1981), 95–102, Lecture Notes in Math., 995, Springer, Berlin, 1983.
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