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Exponential estimates for two-parameter martingales

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Literature cited

  1. R. Morkvenas, “Exponential estimates for distributions of certain two-parameter processes,” Litov. Mat. Sb.,23, No. 2, 141–146 (1983).

    Google Scholar 

  2. R. Cairoli and J. B. Walsh, “Stochastic integrals in the plane,” Acta Math.,134, Nos. 1–2, 111–183 (1975).

    Google Scholar 

  3. A. A. Novikov, “An identity for stochastic integrals,” Teor. Veroyatn. Ee Primen.,17, No. 4, 761–765 (1972).

    Google Scholar 

  4. I. I. Gikhman, “Difference martingales of two arguments,” in: Proceedings of a School-Seminar on the Theory of Stochastic Processes [in Russian], Part 1, Vil'nyus (1975), pp. 35–69.

  5. S. S. Kislenko, “Some inequalities for martingales of random fields,” Teor. Veroyatn. Mat. Stat.,26, 62–69 (1982).

    Google Scholar 

  6. E. Wong, “A calculus of multiparameter martingales and its applications,” Lect. Notes Control Inform. Sci.,14, 73–80 (1979).

    Google Scholar 

  7. D. Nualart, Variations quadratiques et inégalités pour les martingales a deux indices, Preprint No. 20, Univ. de Barcelona (1984).

  8. C. Metraux, “Quelques inégalités pour martingales a paramètre bidimensionnel,” Lect. Notes Math.,649, 170–179 (1978).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 3, pp. 353–358, May–June, 1987.

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Mishura, Y.S. Exponential estimates for two-parameter martingales. Ukr Math J 39, 275–279 (1987). https://doi.org/10.1007/BF01057233

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