Geodesic
Rosenthal type inequalities for martingales in symmetric spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2012), pp. 60-66

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Inequalities similar to the classical Rosenthal inequalities are proved for sequences of martingale differences in general symmetric spaces. A central role is played by the predictable square variation of a martingale.
Mots-clés : martingale
Keywords: martingale differences, Rosenthal inequality, symmetric space, Boyd indices. 
@article{IVM_2012_11_a4,
     author = {S. V. Astashkin},
     title = {Rosenthal type inequalities for martingales in symmetric spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {60--66},
     publisher = {mathdoc},
     number = {11},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_11_a4/}
}
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S. V. Astashkin. Rosenthal type inequalities for martingales in symmetric spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2012), pp. 60-66. http://geodesic.mathdoc.fr/item/IVM_2012_11_a4/