A refinement of a Hardy type inequality for negative exponents, and sharp applications to Muckenhoupt weights on $\mathbb R$

DOI10.4064/cm7579-8-2018zbMath1423.26044arXiv1804.00840OpenAlexW2962701119MaRDI QIDQ5226502

Eleftherios N. Nikolidakis, Theodoros Stavropoulos

Publication date: 31 July 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.00840

zbMATH Keywords

Muckenhoupt weightsHardy inequalities

Mathematics Subject Classification ID

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

Related Items (4)

Self-improving properties of weighted Gehring classes with applications to partial differential equations ⋮ An extension of a Hardy's inequality and its applications ⋮ Self-improving properties of a generalized Muckenhoupt class ⋮ On discrete weighted Hardy type inequalities and properties of weighted discrete Muckenhoupt classes

Cites Work

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• The exact continuation of a reverse Hölder inequality and Muckenhoupt's conditions
• Generalizations of an inequality of Hardy
• Generalizations of Hardy's and Copson's Inequalities
• The Prehistory of the Hardy Inequality
• A sharp integral Hardy type inequality and applications to Muckenhoupt weights on R

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