Vector Valued Martingale-Ergodic and Ergodic-Martingale Theorems

2012/01/09 by Farruh Shahidi, Shahidi, Farruh, Inomjon Ganiev +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1201.1682

14 pages

arxiv created 2012/01/09 · arxiv updated 2012/01/10

Abstract

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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