• Corpus ID: 235458471

On model spaces and density of functions smooth on the boundary

@inproceedings{Limani2021OnMS,
  title={On model spaces and density of functions smooth on the boundary},
  author={Adem Limani and Bartosz Malman},
  year={2021}
}
We characterize the model spaces KΘ in which functions with smooth boundary extensions are dense. It is shown that such approximations are possible if and only if the singular measure associated to the singular inner factor of Θ is concentrated on a countable union of BeurlingCarleson sets. In fact, we use a duality argument to show that if there exists a restriction of the associated singular measure which does not assign positive measure to Beurling-Carleson sets, then even larger classes of… 
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