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A note on $H^1$ multipliers for locally compact Vilenkin groups |
Canad. Math. Bull. 41(1998), 392-397
Published:1998-12-01
Printed: Dec 1998
Printed: Dec 1998
- James E. Daly
- Keith L. Phillips
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 |