Weighted inequalities for the fractional maximal operator in Lorentz spaces via atomic decomposition of tent spaces

DOI10.4171/ZAA/763zbMath0897.42009MaRDI QIDQ1363044

Yves Rakotondratsimba

Publication date: 30 September 1997

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

maximal operatorsLorentz spaceweighted inequalitiestent space

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)

Cites Work

• Weighted Lorentz spaces and the Hardy operator
• Boundedness of classical operators on classical Lorentz spaces
• The Hardy-Littlewood Maximal Function and Weighted Lorentz Spaces
• A characterization of a two-weight norm inequality for maximal operators
• Weak-type weights and normable Lorentz spaces

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