Le commutateur entre la multiplication par une fonction et une transformation des martingales d’un type certain est un opérateur borné sur , , si et seulement si la fonction appartient à BMO. C’est une analogie pour martingales d’un résultat de Coifman, Rochberg et Weiss.
The commutator of multiplication by a function and a martingale transform of a certain type is a bounded operator on , , if and only if the function belongs to BMO. This is a martingale version of a result by Coifman, Rochberg and Weiss.
@article{AIF_1981__31_1_265_0, author = {Janson, Svante}, title = {BMO and commutators of martingale transforms}, journal = {Annales de l'Institut Fourier}, volume = {31}, year = {1981}, pages = {265-270}, doi = {10.5802/aif.827}, mrnumber = {83b:60038}, zbl = {0437.42015}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_1981__31_1_265_0} }
Janson, Svante. BMO and commutators of martingale transforms. Annales de l'Institut Fourier, Tome 31 (1981) pp. 265-270. doi : 10.5802/aif.827. http://gdmltest.u-ga.fr/item/AIF_1981__31_1_265_0/
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