Real Analysis Exchange

Weighted Inequalities of Hardy-Type on Amalgams

Pankaj Jain and Suket Kumar

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Weighted Hardy-type inequalities between suitable amalgams $\ell^q(L^{p},u)$ and $\ell^{\bar q}(L^{\bar p},v)$ are characterized. The Hardy-type operator involved in the inequalities involves functions which are not necessarily non-negative.

Article information

Real Anal. Exchange Volume 34, Number 2 (2008), 483-500.

First available: 29 October 2009

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Zentralblatt MATH identifier

Mathematical Reviews number (MathSciNet)

Primary: 26D10: Inequalities involving derivatives and differential and integral operators 26D15: Inequalities for sums, series and integrals
Secondary: 26A05

Hardy inequality discrete Hardy inequalities amalgam Hardy operators involving general functions


Jain, Pankaj; Kumar, Suket. Weighted Inequalities of Hardy-Type on Amalgams. Real Analysis Exchange 34 (2008), no. 2, 483--500.

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