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Certain non-algebras in harmonic analysis

Published online by Cambridge University Press:  17 April 2009

Lynette M. Butler  and
R.E. Edwards
Lynette M. Butler
Affiliation:
School of General Studies, Australian National University, Canberra, ACT.
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Abstract

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Given qo ∈ [1, 2), functions and are constructed such that fgqAq for every q ∈ [1, qo]. In particular, if p ∈ (1, 2), AP is not an algebra.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 2 , April 1971 , pp. 247 - 254
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Katznelson, Yitzhak, An introduction to harmonic analysis (John Wiley, New York, London, Sydney, Toronto, 1968).Google Scholar