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This research was supported by the National Science Foundation under grant G 21 507.
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Burkholder, D.L. Maximal inequalities as necessary conditions for almost everywhere convergence. Z. Wahrscheinlichkeitstheorie verw Gebiete 3, 75–88 (1964). https://doi.org/10.1007/BF00531684
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DOI: https://doi.org/10.1007/BF00531684