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  • 1 University of New Mexico Department of Mathematics and Statistics 87131 Albuquerque New Mexico U.S.A.
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In [3] and [4]Kitada presented Hörmander-type multiplier theorems for Lebesgue and Hardy spaces defined over a locally compact Vilenkin groupG. Like in the classical case, multipliers for the spaceL1(G) were not included in these results. In the present paper we discuss this particular case and we show how we need to modify the usual Hörmander multiplier condition to obtainL1 (G)-multipliers.