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BMO and commutators of martingale transforms

Svante Janson (1981)

Annales de l'institut Fourier

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.

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