A sharp integral Hardy type inequality and applications to Muckenhoupt weights on R

DOI10.5186/AASFM.2014.3947zbMath1320.26028arXiv1312.1744OpenAlexW2963512504MaRDI QIDQ5495644

Eleftherios N. Nikolidakis

Publication date: 6 August 2014

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1744

zbMATH Keywords

Muckenhoupt weightsHardy inequalityCopson inequality

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Inequalities for sums, series and integrals (26D15)

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Applications of the novel diamond alpha Hardy–Copson type dynamic inequalities to half linear difference equations ⋮ Diamond alpha Hardy-Copson type dynamic inequalities ⋮ Hardy–Copson type inequalities for nabla time scale calculus ⋮ Quantitative dependence of some discrete limiting classes on the Muckenhoupt \(\mathcal{A}_1(u)\) class ⋮ Diamond alpha Bennett‐Leindler type dynamic inequalities and their applications ⋮ Bennett-Leindler type inequalities for nabla time scale calculus ⋮ A Hardy inequality and applications to reverse Hölder inequalities for weights on \(\mathbb{R}\) ⋮ Duality for \(A_\infty\) weights on the real line ⋮ A refinement of a Hardy type inequality for negative exponents, and sharp applications to Muckenhoupt weights on $\mathbb R$ ⋮ Some extended nabla and delta Hardy-Copson type inequalities with applications in oscillation theory

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