On the Discrete Hardy Inequality

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1994 English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 26, pages 283-287 (issn: 0024-6093,

Copyright policy )

Authors: Braverman, Michael Sh.; Stepanov, Vladimir D.;

doi: 10.1112/blms/26.3.283

On the Discrete Hardy Inequality

- Summary
- Subjects
- Metrics

Abstract

Necessary and sufficient conditions for the boundedness of the discrete Hardy's operator of the form \(Pf(n)= \sum^ n_{k=1} f(k)\), from \(l^ p_ v\) to \(l^ q_ u\) when \(0< q< 1< p<\infty\) is given.

Keywords

discrete Hardy's operator, Halperin's lemma, Maximal functions, Littlewood-Paley theory, discrete Hardy's inequality, Inequalities for sums, series and integrals, boundedness

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	15
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average