# 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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