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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A proof of the Burkholder theorem for martingale transforms
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by T. Shintani PDF
Proc. Amer. Math. Soc. 82 (1981), 278-279 Request permission

Abstract:

If $g$ is the transform of an ${L^1}$-bounded martingale $f$ under a predictable sequence $\upsilon$ satisfying ${\text {sup}_n}\left | {{\upsilon _n}} \right | < \infty$ almost everywhere, then a proof of the convergence of $g$ is given using an approximation of $f$ by a martingale of bounded variation.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 82 (1981), 278-279
  • MSC: Primary 60G42
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0609666-2
  • MathSciNet review: 609666