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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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 Bloch function in all $H^{p}$ classes, but not in BMOA
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by Douglas Campbell, Joseph Cima and Kenneth Stephenson PDF
Proc. Amer. Math. Soc. 78 (1980), 229-230 Request permission

Abstract:

All BMOA functions are Bloch and in ${ \cap _{p < \infty }}{H^p}$. A technique is given that creates a Bloch function in all ${H^p}$ classes but which is not in BMOA.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 78 (1980), 229-230
  • MSC: Primary 30D45; Secondary 30D55
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0550501-8
  • MathSciNet review: 550501