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2000 Operator-valued martingale transforms
Teresa Martínez, José L. Torrea
Tohoku Math. J. (2) 52(3): 449-474 (2000). DOI: 10.2748/tmj/1178207823

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.

Citation

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Teresa Martínez. José L. Torrea. "Operator-valued martingale transforms." Tohoku Math. J. (2) 52 (3) 449 - 474, 2000. https://doi.org/10.2748/tmj/1178207823

Information

Published: 2000
First available in Project Euclid: 3 May 2007

zbMATH: 0967.60048
MathSciNet: MR1772807
Digital Object Identifier: 10.2748/tmj/1178207823

Subjects:
Primary: 60G42
Secondary: 46B09 , 60G46

Rights: Copyright © 2000 Tohoku University

Vol.52 • No. 3 • 2000
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