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On some Banach spaces of martingales associated with function spaces

On some Banach spaces of martingales associated with function spaces Abstract.Let X be a Banach function space over a nonatomic probability spaceand let be a filtration. We consider two Banach spaces ofmartingales and that are associated with X and .One of our results is a characterization of Banach function spaces Xsuch that for every filtration . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

On some Banach spaces of martingales associated with function spaces

Forum Mathematicum , Volume 24 (4): 21 – Jul 1, 2012

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References (11)

Publisher
de Gruyter
Copyright
© 2012 by Walter de Gruyter Berlin Boston
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/form.2011.083
Publisher site
See Article on Publisher Site

Abstract

Abstract.Let X be a Banach function space over a nonatomic probability spaceand let be a filtration. We consider two Banach spaces ofmartingales and that are associated with X and .One of our results is a characterization of Banach function spaces Xsuch that for every filtration .

Journal

Forum Mathematicumde Gruyter

Published: Jul 1, 2012

Keywords: Martingale; Banach function space; rearrangement-invariant function space

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