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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Holomorphic martingales and interpolation between Hardy spaces: the complex method
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by P. F. X. Müller
Trans. Amer. Math. Soc. 347 (1995), 1787-1792
DOI: https://doi.org/10.1090/S0002-9947-1995-1264825-8
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Abstract:

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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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 347 (1995), 1787-1792
  • MSC: Primary 60G46; Secondary 42B30, 46E15, 46M35
  • DOI: https://doi.org/10.1090/S0002-9947-1995-1264825-8
  • MathSciNet review: 1264825