Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Multipliers of weak type on locally compact Vilenkin groups

Author(s): T. S. Quek
Journal: Proc. Amer. Math. Soc. 124 (1996), 2727-2736.
MSC (1991): Primary 43A22; Secondary 43A15, 43A70
MathSciNet review: 1327041
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Abstract: Let $G$ be a locally compact Vilenkin group with dual group $\Gamma$ . We give a sufficient condition for $f\in L^\infty (\Gamma )$ to be a multiplier of weak type $(p,p)$ on $G$ . Some applications of our result are given. We also prove that our result is sharp.

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