Rademacher multiplicator spaces equal to $L^\infty $

DOI10.1090/S0002-9939-08-09542-7zbMath1160.46021OpenAlexW1604910261MaRDI QIDQ3533866

Guillermo P. Curbera, Serguei V. Astashkin

Publication date: 24 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09542-7

zbMATH Keywords

Rademacher functionsrearrangement invariant 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) Probabilistic methods in Banach space theory (46B09)

Related Items (5)

A weighted Khintchine inequality ⋮ Rademacher functions in weighted symmetric spaces ⋮ Rademacher functions in symmetric spaces ⋮ Rearrangement invariance of Rademacher multiplicator spaces ⋮ Local Khinchin inequality in rearrangement invariant spaces

Cites Work

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• On the multiplier space generated by the Rademacher system
• Rademacher series in symmetric spaces
• Symmetric kernel of Rademacher multiplicator spaces
• The Distribution of Rademacher Sums
• A note on function spaces generated by Rademacher series
• Multiplication operators on the space of Rademacher series in rearrangement invariant spaces
• Systems of random variables equivalent in distribution to the Rademacher system and $ \mathscr K$-closed representability of Banach couples
• About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system

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