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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Holomorphic martingales and interpolation between Hardy spaces: the complex method
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by P. F. X. Müller PDF
Trans. Amer. Math. Soc. 347 (1995), 1787-1792 Request permission


A probabilistic proof is given to identify the complex interpolation space of ${H^1}(\mathbb {T})$ and ${H^\infty }(\mathbb {T})$ as ${H^p}(\mathbb {T})$.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 347 (1995), 1787-1792
  • MSC: Primary 60G46; Secondary 42B30, 46E15, 46M35
  • DOI:
  • MathSciNet review: 1264825