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On the convergence of martingale transforms. (English) Zbl 0208.44003


MSC:

60G46 Martingales and classical analysis
60F99 Limit theorems in probability theory
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References:

[1] Báez-Duarte, L., Another look at the Martingale theorem, J. math. Analysis Appl., 23, 551-557 (1968) · Zbl 0187.41103
[2] Burkholder, D. L., Martingale transforms, Ann. math. Statistics, 37, 1494-1504 (1966) · Zbl 0306.60030
[3] Burkholder, D. L., Maximal inequalities as necessary conditions for almost everywhere convergence, Z.Wahrscheinlichkeitstheorie verw. Geb., 3, 75-88 (1964) · Zbl 0134.14602
[4] Dunford, N.; Schwartz, J. T., Linear operators I (1964), New York: Interscience Publ., New York
[5] Gundy, R. F., A decomposition for L_1-bounded Martingales, Ann. math. Statistics, 39, 134-138 (1968) · Zbl 0185.45102
[6] Isaac, R., A proof of the Martingale convergence theorem, Proc. Amer. math. Soc., 16, 842-844 (1965) · Zbl 0132.12605
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