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Bounded operators on vector-valued weak Orlicz martingale spaces. (English) Zbl 1399.47097

Summary: This paper is devoted to studying the boundedness of sublinear operators on vector-valued weak Orlicz martingale spaces. These results closely depend on the geometrical properties of the Banach space in which the martingales take values. Also, the results obtained here extend the corresponding known results from the scalar-valued setting to the vector-valued setting.

MSC:

47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
60G46 Martingales and classical analysis
60G42 Martingales with discrete parameter
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