Tohoku Mathematical Journal
2000
September
SECOND SERIES VOL. 52, NO. 3

Tohoku Math. J.
52 (2000), 449-474

Title OPERATOR-VALUED MARTINGALE TRANSFORMS

Author Teresa Martínez and José L. Torrea

(Received January 25, 1999, revised April 4, 2000)
Abstract. We develop a general theory of martingale transform operators with operator-valued multiplying sequences. Applications are given to classical operators such as Doob's maximal function and the square function. Some geometric properties of the underlying Banach spaces are also considered.

1991 Mathematics Subject Classification. Primary 60G42; Secondary 60G46, 46B09.

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