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April 2014 Bad boundary behavior in star-invariant subspaces I
Andreas Hartmann, William T. Ross
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Ark. Mat. 52(1): 113-134 (April 2014). DOI: 10.1007/s11512-012-0172-x


We discuss the boundary behavior of functions in star-invariant subspaces (BH2), where B is a Blaschke product. Extending some results of Ahern and Clark, we are particularly interested in the growth rates of functions at points of the spectrum of B where B does not admit a derivative in the sense of Carathéodory.

Funding Statement

The first author was supported by ANR FRAB: ANR-09-BLAN-0058-02. The authors would like to thank the referee for some useful comments and a simplification.


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Andreas Hartmann. William T. Ross. "Bad boundary behavior in star-invariant subspaces I." Ark. Mat. 52 (1) 113 - 134, April 2014.


Received: 28 February 2012; Published: April 2014
First available in Project Euclid: 30 January 2017

zbMATH: 1310.30049
MathSciNet: MR3175297
Digital Object Identifier: 10.1007/s11512-012-0172-x

Rights: 2012 © Institut Mittag-Leffler

Vol.52 • No. 1 • April 2014
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