An abstract approach to approximations in spaces of pseudocontinuable functions

@inproceedings{Limani2021AnAA,
  title={An abstract approach to approximations in spaces of pseudocontinuable functions},
  author={Adem Limani and Bartosz Malman},
  year={2021}
}
We give an abstract approach to approximations with a wide range of regularity classes X in spaces of pseudocontinuable functions K p θ, where θ is an inner function and p > 0. More precisely, we demonstrate a general principle, attributed to A. B. Aleksandrov, which asserts that if a certain linear manifold X is dense in the space of pseudocontinuable functions K p0 θ , for some p0 > 0, then X is in fact dense in K p θ, for all p > 0. Moreover, for a rich class of Banach spaces of analytic… 

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