On a weighted inequality of Hardy type in spaces \(L^{p(\cdot)}\)

DOI10.1016/j.jmaa.2008.12.029zbMath1172.26006OpenAlexW1994567320MaRDI QIDQ1018138

Farman I. Mamedov, Aziz Harman

Publication date: 13 May 2009

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.2008.12.029

zbMATH Keywords

Hardy operatorHardy inequalityvariable exponentsweighted inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

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Cites Work

• Weighted weak type inequalities with variable exponents for Hardy and maximal operators
• Weighted Hardy modular inequalities in variable \(L^p\) spaces for decreasing functions
• Hardy's inequality in power-type weighted \(L^{p(\cdot)}(0,\infty )\) spaces
• Hardy Inequalities with Mixed Norms
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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