Hardy type inequalities with power weights for Hausdorff operators

DOI10.1007/s10958-022-05898-6OpenAlexW4291162955WikidataQ114225165 ScholiaQ114225165MaRDI QIDQ6188043

Elijah Liflyand

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05898-6

zbMATH Keywords

Hardy inequalityHausdorff operatorpower weightbroken power weight

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) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Linear operators on function spaces (general) (47B38)

Cites Work

• Reduction theorems for weighted integral inequalities on the cone of monotone functions
• Hardy Inequalities with Mixed Norms
• Weighted norm inequalities for integral transforms
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Hausdorff operator in Lebesgue spaces
• Decay of the Fourier Transform
• \(L^p\) and BMO bounds of weighted Hardy-Littlewood averages
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