Vector valued martingale-ergodic and ergodic-martingale theorems

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

Bibliographic Details
Main Authors: Shahidi, Farruh, Ganiev, Inomjon
Format: Article
Language:English
Published: Taylor& Francis group, LLC 2012
Subjects:
Online Access:http://irep.iium.edu.my/27030/
http://irep.iium.edu.my/27030/
http://irep.iium.edu.my/27030/
http://irep.iium.edu.my/27030/1/07362994.2012.704858.pdf
Description
Summary: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