On the normability of Marcinkiewicz classes

DOI10.1134/S0001434607030182zbMath1143.46009OpenAlexW2153550046MaRDI QIDQ2473722

Serguei V. Astashkin

Publication date: 4 March 2008

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

Full work available at URL: https://doi.org/10.1134/s0001434607030182

zbMATH Keywords

interpolationgenerating functionHardy-Littlewood operatornormabilityquasinormsymmetric Banach spaceMarcinkiewicz classdilation exponent

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) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)

Related Items (1)

Symmetric spaces of measurable functions: some new and old advances

Cites Work

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• Weighted Lorentz spaces and the Hardy operator
• Some new functional spaces
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces

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