Abstract
LetX be a Riemannian symmetric space of the noncompact type. We prove the multiplier theorem for the Helgason-Fourier transform and the vector valued function spacesL p (X, l q ). As a consequence we get the inequalities of the Littlewood-Paley type forL p (X) spaces.
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Research supported by K.B.N. Grant 210519101 (Poland).
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Skrzypczak, L. Vector-valued Fourier multipliers on symmetric spaces of the noncompact type. Monatshefte für Mathematik 119, 99–123 (1995). https://doi.org/10.1007/BF01292772
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DOI: https://doi.org/10.1007/BF01292772