Classes and Boundary Properties of Functions in the Open Unit Disk

Authors

  • Miroslav K. Hristov Faculty of Mathematics and Informatics, University of Shumen, Bulgaria

DOI:

https://doi.org/10.7546/CRABS.2022.09.01

Keywords:

bounded analytic functions, Bourgain algebras, boundary behaviour

Abstract

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 \(T=\{z:\mid z\mid = 1\}\).

Author Biography

Miroslav K. Hristov, Faculty of Mathematics and Informatics, University of Shumen, Bulgaria

Mailing Address:
Faculty of Mathematics and Informatics,
Konstantin Preslavsky University of Shumen
115 Universitetska St
9712 Shumen, Bulgaria

E-mail: miroslav.hristov@shu-bg.net

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Published

30-09-2022

How to Cite

[1]
M. Hristov, “Classes and Boundary Properties of Functions in the Open Unit Disk”, C. R. Acad. Bulg. Sci. , vol. 75, no. 9, pp. 1255–1261, Sep. 2022.

Issue

Vol. 75 No. 9 (2022)

Section

Mathematics

License

Copyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences

Copyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences

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