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A Note on Hardy's Inequality

Published online by Cambridge University Press:  20 November 2018

Ivo Klemes*
Affiliation:
Department of Mathematics and Statistics McGill University Montréal, Québec H3A 2K6
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Abstract

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We prove a two-sided version of Hardy's inequality by methods arising from the proof of the Littlewood conjecture.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1993

References

1. Fournier, J. J. F., Some remarks on the recent proofs of the Littlewood conjecture, CMS Conference Proc. 3(1983), 157170.Google Scholar
2. McGehee, O. C., Pigno, L. and Smith, B., Hardy's inequality and the L1 norm of exponential sums, Annals of Math. 113(1981), 613618.Google Scholar
3. Pigno, L. and Smith, B., A Littlewood-Paley inequality for analytic measures, Arkiv für Mat. 20(1982), 271274.Google Scholar
4. Smith, B., Two trigonometric designs. In: ISNM 64 General Inequalities 3, (éd. E. F Beckenbach and W. Walter), Birkhàuser, (1983), 141148.Google Scholar