Local rearrangement invariant spaces and distribution of Rademacher series
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Publication:1746014
DOI10.1007/S11117-017-0500-2zbMath1407.46024OpenAlexW2613956724MaRDI QIDQ1746014
Publication date: 19 April 2018
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-017-0500-2
distribution functionRademacher seriesrearrangement invariant spacesfunction spacesKhintchine inequalities
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Distribution theory (60E99)
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Cites Work
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- Rademacher series in symmetric spaces
- Domination inequality for martingale transforms of a Rademacher sequence
- Khintchine inequality for sets of small measure
- Local Khinchin inequality in rearrangement invariant spaces
- Classical Banach spaces
- On local Khintchine inequalities for spaces of exponential integrability
- 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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