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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Explicit examples of Bloch functions in every $ H\sp p$ space, but not in BMOA


Authors: Finbarr Holland and J. Brian Twomey
Journal: Proc. Amer. Math. Soc. 95 (1985), 227-229
MSC: Primary 30D55; Secondary 46E99
MathSciNet review: 801328
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Abstract: It is shown how to construct analytic functions, with nonnegative Taylor coefficients, that belong to the intersection of the space of Bloch functions and all the $ {H^p}$ spaces and yet do not have bounded mean oscillation.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0801328-5
PII: S 0002-9939(1985)0801328-5
Keywords: Bloch functions, $ {H^p}$ spaces, bounded mean oscillation, dual spaces
Article copyright: © Copyright 1985 American Mathematical Society