Maximal inequalities as necessary conditions for almost everywhere convergence

Author:

Burkholder D. L.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis,General Mathematics,Statistics and Probability,Analysis

Reference12 articles.

1. Alexits, G.: Convergence Problems of Orthogonal Series. New York: Pergamon 1961.

2. Burkholder, D. L.: Successive conditional expectations of an integrable function. Ann. math. Statistics 33, 887?893 (1962).

3. ?, and Y. S. Chow: Iterates of conditional expectation operators. Proc. Amer. math. Soc. 12, 490?495 (1961).

4. Doob, J. L.: Stochastic Processes. New York: Wiley 1953.

5. Dunford, N., and J. T. Schwartz: Convergence almost everywhere of operator averages. J. Rat. Mech. Analysis 5, 129?178 (1956).

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