Inner functions and cyclic vectors in the Bloch space-Reference-Cited by-同舟云学术

Inner functions and cyclic vectors in the Bloch space

Published:1991 Issue:1 Volume:323 Page:429-448
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Anderson J. M.,Fernández J. L.,Shields A. L.

Abstract

In this paper we construct a singular inner function whose polynomial multiples are dense in the little Bloch space B 0 {\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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1991-323-01/S0002-9947-1991-0979966-6/S0002-9947-1991-0979966-6.pdf

Reference22 articles.

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4. On majorants of finite or quasi-finite growth;Bernšteĭn, S. N.;Doklady Akad. Nauk SSSR (N.S.),1949

5. Cyclic vectors in the Dirichlet space;Brown, Leon;Trans. Amer. Math. Soc.,1984

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