Weak-type boundedness of the Hardy-Littlewood maximal operator on weighted Lorentz spaces

DOI10.1007/S00041-015-9456-4zbMath1357.42014OpenAlexW2256184619MaRDI QIDQ501956

Jorge Antezana, Elona Agora, María Jesús Carro

Publication date: 10 January 2017

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-015-9456-4

zbMATH Keywords

Hardy-Littlewood maximal operatorweighted Lorentz spaces

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)

Related Items (3)

Martingale inequalities and fractional integral operator in variable Hardy-Lorentz spaces ⋮ Variable Hardy–Lorentz martingale spaces Hp(·),q(·)$\mathcal {H}_{p(\cdot ),q(\cdot )}$ ⋮ B-valued martingale Hardy-Lorentz-Karamata spaces

Cites Work

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• Weighted norm inequalities for averaging operators of monotone functions
• Weighted Lorentz spaces and the Hardy operator
• Some new functional spaces
• On the theory of spaces \(\Lambda\)
• Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
• Recent developments in the theory of Lorentz spaces and weighted inequalities
• Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces
• A new characterization of the Muckenhoupt $A_p$ weights through an extension of the Lorentz-Shimogaki Theorem
• Weighted Norm Inequalities for the Hardy Maximal Function

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