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The Hardy-Littlewood property for symmetric spaces

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Publication:1259815
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DOI10.1007/BF00967029zbMath0411.46016WikidataQ125356088 ScholiaQ125356088MaRDI QIDQ1259815

Michael Braverman, Alexander A. Mekler

Publication date: 1978

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

symmetric spacesMarcinkiewicz spacesKrein-Milman propertyHardy-Littlewood property


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)


Related Items

Normed lattices ⋮ Alberti-Uhlmann problem on Hardy-Littlewood-Pólya majorization ⋮ Fully symmetric function spaces without an equivalent Fatou norm ⋮ Orbits in symmetric spaces



Cites Work

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  • Convergence and divergence of Fourier integrals in the Sobolev-spaces pair
  • Hardy-Littlewood majorants in function spaces
  • Interpolation theorems for operators in function spaces
  • Classical Banach spaces
  • The Radon-Nikodym Property and Dentable Sets in Banach Spaces
  • Decreasing Rearrangements and Doubly Stochastic Operators
  • Majorants in Spaces of Integrable Functions
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