Real Analysis Exchange

Weighted Inequalities of Hardy-Type on Amalgams

Pankaj Jain and Suket Kumar

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Abstract

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

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

Dates
First available in Project Euclid: 29 October 2009

Permanent link to this document
http://projecteuclid.org/euclid.rae/1256835200

Zentralblatt MATH identifier
05652549

Mathematical Reviews number (MathSciNet)
MR2569200

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

Keywords
Hardy inequality discrete Hardy inequalities amalgam Hardy operators involving general functions

Citation

Jain, Pankaj; Kumar, Suket. Weighted Inequalities of Hardy-Type on Amalgams. Real Analysis Exchange 34 (2008), no. 2, 483--500. http://projecteuclid.org/euclid.rae/1256835200.


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References

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