Rosenthal type inequalities for martingales in symmetric spaces

DOI10.3103/S1066369X12110059zbMath1269.46018OpenAlexW2152678866MaRDI QIDQ1941807

Serguei V. Astashkin

Publication date: 22 March 2013

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x12110059

zbMATH Keywords

symmetric spacemartingalemartingale differencesBoyd indicesRosenthal inequality

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) 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)

Cites Work

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• Disjointification of martingale differences and conditionally independent random variables with some applications
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• The Khintchine inequalities and martingale expanding sphere of their action

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