Rearrangement invariance of Rademacher multiplicator spaces

DOI10.1016/j.jfa.2008.12.021zbMath1178.46024OpenAlexW2165003722MaRDI QIDQ1028321

Serguei V. Astashkin, Guillermo P. Curbera

Publication date: 30 June 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.12.021

zbMATH Keywords

Rademacher functionsrearrangement invariant spaceLorentz spaceMarcinkiewicz spaceinterpolation spacefundamental functiondilation indexRademacher multiplicator 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) Banach lattices (46B42)

Related Items (3)

A weighted Khintchine inequality ⋮ Rademacher functions in weighted symmetric spaces ⋮ Local Khinchin inequality in rearrangement invariant spaces

Cites Work

• On the multiplier space generated by the Rademacher system
• Rademacher series in symmetric spaces
• Symmetric kernel of Rademacher multiplicator spaces
• Rademacher multiplicator spaces equal to $L^\infty $
• A note on function spaces generated by Rademacher series
• Multiplication operators on the space of Rademacher series in rearrangement invariant spaces
• Relations Between Function Spaces
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