Geodesic
Maximal Inequalities of Noncommutative Martingale Transforms
Canadian journal of mathematics, Tome 73 (2021) no. 1, pp. 221-248

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DOI

In this paper, we investigate noncommutative symmetric and asymmetric maximal inequalities associated with martingale transforms and fractional integrals. Our proofs depend on some recent advances on algebraic atomic decomposition and the noncommutative Gundy decomposition. We also prove several fractional maximal inequalities.
DOI : 10.4153/S0008414X19000580
Mots-clés : noncommutative martingale, maximal inequalities, martingale transform, fractional integral 
Jiao, Yong; Sukochev, Fedor; Zhou, Dejian. Maximal Inequalities of Noncommutative Martingale Transforms. Canadian journal of mathematics, Tome 73 (2021) no. 1, pp. 221-248. doi: 10.4153/S0008414X19000580
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     title = {Maximal {Inequalities} of {Noncommutative} {Martingale} {Transforms}},
     journal = {Canadian journal of mathematics},
     pages = {221--248},
     year = {2021},
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     doi = {10.4153/S0008414X19000580},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000580/}
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