Bad Boundary Behavior in Star Invariant Subspaces I

Authors

William T. Ross, University of RichmondFollow
Andreas Hartmann

DOI

10.1007/s11512-012-0172-x

Abstract

We discuss the boundary behavior of functions in star invariant subspaces (BH²)¹, 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.

Document Type

Article

Publication Date

2014

Publisher Statement

Copyright © 2014 Springer Netherlands . This article first appeared in Arkiv för Matematik 52:1 (2014), 113-134.

The definitive version version is available at: http://link.springer.com/article/10.1007/s11512-012-0172-x

DOI: 10.1007/s11512-012-0172-x

Full Citation:

Hartmann, Andreas, and William T. Ross. "Bad Boundary Behavior in Star Invariant Subspaces I." Arkiv För Matematik 52, no. 1 (2014): 113-34. doi:10.1007/s11512-012-0172-x.

Recommended Citation

Ross, William T. and Hartmann, Andreas, "Bad Boundary Behavior in Star Invariant Subspaces I" (2014). Department of Math & Statistics Faculty Publications. 9.
https://scholarship.richmond.edu/mathcs-faculty-publications/9