Classes and Boundary Properties of Functions in the Open Unit Disk
DOI:
https://doi.org/10.7546/CRABS.2022.09.01Keywords:
bounded analytic functions, Bourgain algebras, boundary behaviourAbstract
Let \(\psi\) be a Blaschke product and \(d\theta(\mathop{\rm supp}\psi)=0\). In this paper we prove that the functions of Bourgain algebra \( (\psi H^\infty (D), L^\infty (D))_b \) have essential non-tangential limit at almost every point of \(T=\{z:\mid z\mid = 1\}\).
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