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A Note on H1 Multipliers for Locally Compact Vilenkin Groups

Published online by Cambridge University Press:  20 November 2018

James E. Daly  and
Keith L. Phillips
James E. Daly
Affiliation:
Department of Mathematics University of Colorado Colorado Springs, CO 80907 USA, email: jedaly@math.uccs.edu
Keith L. Phillips
Affiliation:
Department of Mathematics University of Colorado Colorado Springs, CO 80907 USA, email: keith@pyramid.uccs.edu
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Abstract

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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.

Keywords

43A7044A35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 4 , 01 December 1998 , pp. 392 - 397
Copyright
Copyright © Canadian Mathematical Society 1998

References

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