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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Another characterization of BMO
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by R. R. Coifman and R. Rochberg
Proc. Amer. Math. Soc. 79 (1980), 249-254
DOI: https://doi.org/10.1090/S0002-9939-1980-0565349-8

Abstract:

The following characterization of functions of bounded mean oscillation (BMO) is proved. f is in BMO if and only if \[ f = \alpha \log {g^ \ast } - \beta \log {h^ \ast } + b\] where ${g^ \ast },({h^ \ast })$ is the Hardy-Littlewood maximal function of g, (h), respectively, b is bounded and ${\left \| f \right \|_{{\text {BMO}}}} \leqslant c(\alpha + \beta + {\left \| b \right \|_\infty })$.
References
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Bibliographic Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 79 (1980), 249-254
  • MSC: Primary 42B25; Secondary 42B30
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0565349-8
  • MathSciNet review: 565349