English

Composition and decomposition of indestructible Blaschke products

Complex Variables 2013-04-23 v1

Abstract

We prove that the composition of two indestructible Blaschke products is again an indestructible Blaschke product. We also show that if an indestructible Blaschke product is the composition of two bounded analytic functions, then both functions are indestructible Blaschke products.

Keywords

Cite

@article{arxiv.1304.5787,
  title  = {Composition and decomposition of indestructible Blaschke products},
  author = {Daniela Kraus and Oliver Roth},
  journal= {arXiv preprint arXiv:1304.5787},
  year   = {2013}
}