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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Inner functions and cyclic vectors in the Bloch space


Authors: J. M. Anderson, J. L. Fernández and A. L. Shields
Journal: Trans. Amer. Math. Soc. 323 (1991), 429-448
MSC: Primary 46J15; Secondary 30H05, 46E15, 47B38
DOI: https://doi.org/10.1090/S0002-9947-1991-0979966-6
MathSciNet review: 979966
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Abstract: In this paper we construct a singular inner function whose polynomial multiples are dense in the little Bloch space $ {\mathcal{B}_0}$. To do this we construct a singular measure on the unit circle with "best possible" control of both the first and second differences.


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DOI: https://doi.org/10.1090/S0002-9947-1991-0979966-6
Article copyright: © Copyright 1991 American Mathematical Society