Real Analysis Exchange

Weighted Inequalities of Hardy-Type on Amalgams

Pankaj Jain and Suket Kumar

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

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.

Primary Subjects: 26D10, 26D15
Secondary Subjects: 26A05
Keywords: Hardy inequality; discrete Hardy inequalities; amalgam; Hardy operators involving general functions

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