Weak type inequalities for vector-valued martingales
We obtain weak versions of the Burkholder-Davis-Gundy inequalities for vector-valued martingales by employing the operator-valued martingale transform technique. These inequalities are closely related to the geometric properties of the underlying Banach space.
Year of publication: |
2010
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Authors: | Jiao, Yong ; Peng, Lihua |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 80.2010, 13-14, p. 1128-1135
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Publisher: |
Elsevier |
Keywords: | Weak spaces Martingale inequalities Uniformly convex (smooth) spaces |
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