An equivalence theorem for some integral conditions with general measures related to Hardy's inequality

DOI10.1016/j.jmaa.2006.03.015zbMath1113.26024OpenAlexW4251346663MaRDI QIDQ860950

Christopher A. Okpoti, Lars-Erik Persson, Gordon Sinnamon

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.015

zbMATH Keywords

Hardy operatorweight functionscomparisonsweight sequencesdiscrete Hardy's inequalityequivalent integral conditionsHardy's inequality with general measuresscales of characterizations

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items

An equivalence theorem for some integral conditions with general measures related to Hardy's inequality. II., On a general weighted Hardy type inequality in the variable exponent Lebesgue spaces, Compactness for the weighted Hardy operator in variable exponent spaces, Weighted estimates for integral transforms and a variant of Schur's Lemma, On a Hardy type general weighted inequality in spaces \(L ^{p(\cdot )}\), Weighted Fourier inequalities via rearrangements, Multidimensional Inequalities of Hardy and (Limit) Póolya-Knopp Types, ON WEIGHTED INEQUALITIES WITH GEOMETRIC MEAN OPERATOR, The best constants for multidimensional modular inequalities over spherical cones

Cites Work

• Transferring monotonicity in weighted norm inequalities
• Weighted integral inequalities with the geometric mean operator
• SOME ELEMENTARY INEQUALITIES
• SOME ELEMENTARY INEQUALITIES, III
• Hardy's inequality with weights
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