Atomic decompositions of Banach lattice-valued martingales |
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| Authors: | Xueying Zhang Chuanzhou Zhang |
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| Institution: | a College of Science, Wuhan University of Science and Technology, Wuhan, 430065, Chinab Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology), Wuhan, 430081, Chinac School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China |
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| Abstract: | In this paper, atomic decompositions of Banach lattice-valued martingales are given. We discuss the relation between the LERMT property and atomic decompositions. With the help of atomic decompositions, the relation of the martingale spaces is investigated. |
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| Keywords: | primary 60G46 60B11 secondary 46B09 |
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