Atomic decompositions of Banach-spacevalued martingales |
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| Authors: | Peide Liu Youliang Hou |
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| Institution: | (1) Department of Mathematics, Wuhan University, 430072 Wuhan, China |
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| Abstract: | Several theorems for atomic decompositions of Banach-space-valued martingales are proved. As their applications, the relationship
among some martingale spaces such asH
α(X) andρ
H
α in the case 0< α⩽ are studied. It is shown that there is a close connection between the results and the smoothness and convexity
of the value spaces.
Project supported by the National Natural Science Foundation of China (Grant No. 19771063). |
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| Keywords: | Banach-space-valued martingale martingale space atomic decomposition geometry of Banach space |
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