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# A note on $H^1$ multipliers for locally compact Vilenkin groups

Published:1998-12-01
Printed: Dec 1998
• James E. Daly
• Keith L. Phillips
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## Abstract

Kitada and then Onneweer and Quek have investigated multiplier operators on Hardy spaces over locally compact Vilenkin groups. In this note, we provide an improvement to their results for the Hardy space $H^1$ and provide examples showing that our result applies to a significantly larger group of multipliers.
 MSC Classifications: 43A70 - Analysis on specific locally compact and other abelian groups [See also 11R56, 22B05] 44A35 - Convolution

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