Multipliers of weak type on locally compact Vilenkin groups

Quek, T.

doi:10.1090/S0002-9939-96-03365-5

Multipliers of weak type on locally compact Vilenkin groups
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by T. S. Quek

Proc. Amer. Math. Soc. 124 (1996), 2727-2736

DOI: https://doi.org/10.1090/S0002-9939-96-03365-5

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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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