Weak martingale Hardy spaces and weak atomic decompositions
Weak martingale Hardy spaces and three kinds of weak atoms are considered. The atomic decomposition of weak martingale Hardy spaces are proved. Sufficient conditions are given for a sublinear operator to be bounded on the weak martingale Hardy spaces. Some results are generalized from the papers by \textit{F. Weisz} [Probab. Theory Relat. Fields 84, No. 3, 361--376 (1990; Zbl 0687.60046) and Acta Math. Hung. 80, No. 3, 249--264 (1998; Zbl 0914.42021)].
scientific article; zbMATH DE number 5127925