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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
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.

References [Enhancements On Off] (What's this?)

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  • [3] Donald Sarason, Function theory on the unit circle, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, 1978. MR 521811 (80d:30035)
  • [4] Kenneth Stephenson, Weak subordination and stable classes of meromorphic functions (preprint). MR 586736 (81m:30029)

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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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