BMO and commutators of martingale transforms
Annales de l'Institut Fourier, Volume 31 (1981) no. 1, p. 265-270

The commutator of multiplication by a function and a martingale transform of a certain type is a bounded operator on L p , 1<p<, if and only if the function belongs to BMO. This is a martingale version of a result by Coifman, Rochberg and Weiss.

Le commutateur entre la multiplication par une fonction et une transformation des martingales d’un type certain est un opérateur borné sur L p , 1<p<, si et seulement si la fonction appartient à BMO. C’est une analogie pour martingales d’un résultat de Coifman, Rochberg et Weiss.

@article{AIF_1981__31_1_265_0,
     author = {Janson, Svante},
     title = {BMO and commutators of martingale transforms},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Louis-Jean},
     address = {Gap},
     volume = {31},
     number = {1},
     year = {1981},
     pages = {265-270},
     doi = {10.5802/aif.827},
     zbl = {0437.42015},
     mrnumber = {83b:60038},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1981__31_1_265_0}
}
Janson, Svante. BMO and commutators of martingale transforms. Annales de l'Institut Fourier, Volume 31 (1981) no. 1, pp. 265-270. doi : 10.5802/aif.827. http://www.numdam.org/item/AIF_1981__31_1_265_0/

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