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Proceedings of the American Mathematical Society

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A Bloch function in all $ H\sp{p}$ classes, but not in BMOA


Authors: Douglas Campbell, Joseph Cima and Kenneth Stephenson
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
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0550501-8
Keywords: BMOA, Bloch function, $ {H^p}$ spaces, stable class, normal meromorphic function, universal covering map, inner function
Article copyright: © Copyright 1980 American Mathematical Society

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