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Zbl 1140.26003
Kufner, A.; Kuliev, K.; Kulieva, G.
The Hardy inequality with one negative parameter. (English)
[J] Banach J. Math. Anal. 2, No. 2, 76-84, electronic only (2008). ISSN 1735-8787/e

Summary: Necessary and sufficient conditions for the validity of the Hardy inequality for the case $q<0$, $p>0$ and for the case $q>0$, $p<0$ are derived.

MSC 2000:: *26D10 Inequalities involving derivatives, diff. and integral operators
26D15 Inequalities for sums, series and integrals of real functions
47B38 Operators on function spaces

Keywords: inequalities; Hardy-type inequalities; weights; negative powers

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Zentralblatt MATH Berlin [Germany]