Sharp Logarithmic Inequalities for Two Hardy-type Operators

DOI10.4064/ba8039-12-2015zbMath1333.42044OpenAlexW2562605932MaRDI QIDQ2787108

Adam Osȩkowski

Publication date: 24 February 2016

Published in: Bulletin Polish Acad. Sci. Math. (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8001d32fb4ebbb6a3f78ef98fc83774cb8f15433

zbMATH Keywords

logarithmic inequalitiesmartingale maximal functionHardy-Littlewood operators

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) Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Martingales with continuous parameter (60G44) Harmonic analysis in several variables (42B99)

Cites Work

• The Best Bound in the L logL Inequality of Hardy and Littlewood and its Martingale Counterpart
• Best Constants for Two Nonconvolution Inequalities
• Unnamed Item

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