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

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.

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.

@article{AIF_1981__31_1_265_0,
     author = {Janson, Svante},
     title = {BMO and commutators of martingale transforms},
     journal = {Annales de l'Institut Fourier},
     pages = {265--270},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {31},
     number = {1},
     year = {1981},
     doi = {10.5802/aif.827},
     mrnumber = {83b:60038},
     zbl = {0437.42015},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.827/}
}
TY  - JOUR
AU  - Janson, Svante
TI  - BMO and commutators of martingale transforms
JO  - Annales de l'Institut Fourier
PY  - 1981
SP  - 265
EP  - 270
VL  - 31
IS  - 1
PB  - Institut Fourier
PP  - Grenoble
UR  - http://www.numdam.org/articles/10.5802/aif.827/
DO  - 10.5802/aif.827
LA  - en
ID  - AIF_1981__31_1_265_0
ER  - 
%0 Journal Article
%A Janson, Svante
%T BMO and commutators of martingale transforms
%J Annales de l'Institut Fourier
%D 1981
%P 265-270
%V 31
%N 1
%I Institut Fourier
%C Grenoble
%U http://www.numdam.org/articles/10.5802/aif.827/
%R 10.5802/aif.827
%G en
%F AIF_1981__31_1_265_0
Janson, Svante. BMO and commutators of martingale transforms. Annales de l'Institut Fourier, Tome 31 (1981) no. 1, pp. 265-270. doi : 10.5802/aif.827. http://www.numdam.org/articles/10.5802/aif.827/

[1] R.R. Coifman, R. Rochberg and G. Weiss, Factorization theorems for Hardy spaces in several variables, Ann. Math., 103 (1976), 611-635. | MR | Zbl

[2] C. Fefferman and E.M. Stein, Hp-spaces of several variables, Acta Math., 129 (1972), 137-193. | MR | Zbl

[3] S. Janson, Characterizations of H1 by singular integral transforms on martingales and Rn, Math. Scand., 41 (1977), 140-152. | MR | Zbl

[4] S. Janson, Mean oscillation and commutators of singular integral operators, Ark. Mat., 16 (1978), 263-270. | MR | Zbl

[5] A. Uchiyama, Compactness of operators of Hankel type, Tôhoku Math. J., 30 (1978), 163-171. | MR | Zbl

Cité par Sources :