New Lorentz spaces for the restricted weak-type Hardy's inequalities.

DOI10.1016/S0022-247X(02)00584-XzbMath1036.42022arXivmath/0009072OpenAlexW1975011882MaRDI QIDQ1399305

Joaquim Martín, Javier Soria

Publication date: 30 July 2003

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

Full work available at URL: https://arxiv.org/abs/math/0009072

zbMATH Keywords

maximal functionLorentz spaceweighted inequalitiesHardy operatormonotone functions

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) Function spaces arising in harmonic analysis (42B35)

Related Items (1)

Interpolation theorems on weighted Lorentz martingale spaces

Cites Work

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• Weighted norm inequalities for averaging operators of monotone functions
• Weighted Lorentz spaces and the Hardy operator
• On the theory of spaces \(\Lambda\)
• On embeddings between classical Lorentz spaces
• Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
• Boundedness of classical operators on classical Lorentz spaces
• Weak-type weights and normable Lorentz spaces

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