Author:
Daly James E.,Phillips Keith L.
Abstract
AbstractKitada 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 H1 and provide examples showing that our result applies to a significantly larger group of multipliers.
Publisher
Canadian Mathematical Society
Cited by
6 articles.
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1. Dyadic Derivative, Summation, Approximation;Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations;2015
2. Fourier multiplier theorem for atomic Hardy spaces on unbounded Vilenkin groups;Journal of Mathematical Analysis and Applications;2010-03
3. Uniqueness of Almost Everywhere Convergent Vilenkin Series;Canadian Mathematical Bulletin;2004-09-01
4. Walsh Multipliers for Dyadic Hardy Spaces;Applicable Analysis;2003-07
5. A Tauberian theorem for Vilenkin series;Proceedings of the American Mathematical Society;2003-02-28