A generalized Hardy operator on rearrangement invariant spaces

DOI10.1007/978-3-030-87502-2_32OpenAlexW4312438820MaRDI QIDQ6196692

Oscar Blasco, Carolina Espinoza-Villalva

Publication date: 15 March 2024

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-87502-2_32

zbMATH Keywords

rearrangement invariant spaceHardy operatorBoyd index

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) Linear operators on function spaces (general) (47B38)

Cites Work

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• Generalized Hardy inequalities in rearrangement invariant spaces
• Hardy-Littlewood majorants in function spaces
• On Hardy's Inequality in Weighted Rearrangement Invariant Spaces and Applications. I
• Boundedness of multidimensional Hausdorff operators in 𝐻^{𝑝} spaces, 0<𝑝<1
• Optimal rearrangement invariant range for Hardy-type operators
• The Hilbert Transform on Rearrangement-Invariant Spaces
• Majorants in Spaces of Integrable Functions
• \(L^p\) and BMO bounds of weighted Hardy-Littlewood averages

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