On the principle of duality in Lorentz spaces

zbMath0889.46031MaRDI QIDQ1363295

Hans P. Heinig, Vladimir D. Stepanov, Mikhail L. Goldman

Publication date: 14 January 1998

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

inequalitiesmaximal functiondualityHilbert transforminverse Hölder inequalityLorentz spacesdual spacesHardy-Littlewood maximal functionnonincreasing rearrangement

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Duality and reflexivity in normed linear and Banach spaces (46B10)

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