Weighted Lorentz norm inequalities for general maximal operators associated with certain families of Borel measures

DOI10.1017/S0308210500012853zbMath0917.46021MaRDI QIDQ3840013

María Dolores Sarrión Gavilán

Publication date: 19 July 1999

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

weighted inequalitiesCesàro-\(\alpha\) averagesone-sided fractional maximal operatorweighted Lorentz norm inequalities

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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Convergence of the lacunary ergodic Cesàro averages ⋮ Sharp weighted bounds for one-sided maximal operators

Cites Work

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• Weighted Inequalities for One-Sided Maximal Functions
• A note on the one-dimensional maximal function
• Weighted Inequalities for Maximal Functions Associated with General Measures
• Weighted Lorentz Norm Inequalities for the One-Sided Hardy-Littlewood Maximal Functions and for the Maximal Ergodic Operator