The transform of \(p\)-quasi martingale. (English) Zbl 1199.60158
Summary: In this paper, we develop general theorems of \(p\)-quasi martingale transform operators with operator-valued multiple sequence. We discuss the theorems in the one-parameter case and in the two-parameter case. The results depend on the geometrical properties of the Banach space.
MSC:
60G46 | Martingales and classical analysis |