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arxiv: 1201.1682 · v1 · pith:QDZ5MMC3new · submitted 2012-01-09 · 🧮 math.FA

Vector Valued Martingale-Ergodic and Ergodic-Martingale Theorems

classification 🧮 math.FA
keywords martingale-ergodictheoremsergodic-martingaleprovevaluedvectorbochnerdominant
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We prove martingale-ergodic and ergodic-martingale theorems for vector valued Bochner integrable functions. We obtain dominant and maximal inequalities. We also prove weighted and multiparameter martingale-ergodic and ergodic martingale theorems.

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