A new proof of the characterization of the weighted Hardy inequality

A new proof of the characterization of the weighted Hardy inequality

Maz'ja and Sinnamon proved a characterization of the boundedness of the Hardy operator from Lp(v) into Lq(w) in the case 0 < q < p, 1 < p < ∞. We present here a new simple proof of the sufficiency part of that result.

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Veröffentlicht in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2005-10, Vol.135 (5), p.941-945
Hauptverfasser: Bernardis, A. L., Martí, n-Reyes, F. J., Salvador, P. Ortega
Format: Artikel
Sprache:eng
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Zusammenfassung:Maz'ja and Sinnamon proved a characterization of the boundedness of the Hardy operator from Lp(v) into Lq(w) in the case 0 < q < p, 1 < p < ∞. We present here a new simple proof of the sufficiency part of that result.
ISSN:0308-2105
1473-7124
DOI:10.1017/S030821050500048X