Orlicz norm inequalities for operator-valued martingale transforms

The [Phi]-inequalities for the martingale transform operators with operator-valued multiplying sequence are proved. As an application, a new method to prove the [Phi]-inequalities between the maximal functions and the p-variation of Banach space-valued martingales is presented. Some geometric properties of the underlying Banach spaces are also considered.

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Year of publication:	2008
Authors:	Yu, Lin
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 78.2008, 16, p. 2664-2670
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005138197