N. Azzouz, B. Halim, A. Senouci, “An inequality for the weighted Hardy operator for <nobr>$0<p<1$</nobr>”, Eurasian Math. J., 2013, Volume 4, Number 3,Pages <nobr>127

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Short communications

An inequality for the weighted Hardy operator for $0<p<1$

N. Azzouz, B. Halim, A. Senouci

Department of Mathematics, Ibn Khaldoun University, P.O. Box 78, Zaaroura, Tiaret 14200, Algeria

Abstract: A Hardy-type inequality for $0<p<1$ with sharp constant is established in [7], [4]. The aim of this work is to extend this inequality for the weighted Hardy operator.

Keywords and phrases: Hardy-type inequality, weighted $L_p$-spaces with $0<p<1$, weighted Hardy operator.

MSC: 35J20, 35J25

Received: 07.08.2013

Language: English