B-VALUED MARTINGALES AND CLASSICAL ANALYSIS

B-valued martingale theory has been one of the most attractive topics in the martingale theory in recent years. In this paper, we shall introduce some topies about B-valued martingales and classieal analysis, such as: martingale convergence and the Radon-Nikodym property of Banaoh spaces; martingale transform and the geometry of Banaeh spaces; functions of bounded mean oscillation and martingales with bounded mean oscillation.