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Tree martingales in noncommutative probability spaces - MaRDI portal

Tree martingales in noncommutative probability spaces (Q2007027)

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scientific article; zbMATH DE number 7259471
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Tree martingales in noncommutative probability spaces
scientific article; zbMATH DE number 7259471

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    Tree martingales in noncommutative probability spaces (English)
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    12 October 2020
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    The author introduces the notion of a tree martingale in a noncommutative probability space and proves the Burkholder-Gundy inequalities for tree martingales in symmetric operator spaces. The results are noncommutative versions of those presented in Chapter 4 of \textit{F. Weisz} [Martingale Hardy spaces and their applications in Fourier analysis. Berlin: Springer-Verlag (1994; Zbl 0796.60049)].
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    noncommutative probability space
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    symmetric operator spaces
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    tree martingale
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    Burkholder-Gundy inequalities
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