Article PDF
Avoid common mistakes on your manuscript.
References
Báez-Duarte, L.: Another look at the Martingale theorem. J. math. Analysis Appl. 23, 551–557 (1968).
Burkholder, D.L.: Martingale transforms. Ann. math. Statistics 37, 1494–1504 (1966).
—: Maximal inequalities as necessary conditions for almost everywhere convergence. Z.Wahrscheinlichkeitstheorie verw. Geb. 3, 75–88 (1964).
Dunford, N., Schwartz, J.T.: Linear operators I. New York: Interscience Publ. 1964.
Gundy, R.F.: A decomposition for L 1-bounded Martingales. Ann. math. Statistics 39, 134–138 (1968).
Isaac, R.: A proof of the Martingale convergence theorem. Proc. Amer. math. Soc. 16, 842–844 (1965).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Báez-Duarte, L. On the convergence of martingale transforms. Z. Wahrscheinlichkeitstheorie verw Gebiete 19, 319–322 (1971). https://doi.org/10.1007/BF00535836
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00535836