On zeros, singular boundary functions, and modules of angular boundary values for one class of functions analytic in a half-plane

• Date: 2004
• Main Authors: Vynnyts’kyi, B. V., Sharan, V.L., Винницкий, Б. В., Шаран, В. Л.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3803
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We obtain the description of the zeros, singular boundary functions, and modules of angular boundary values of the functions $f \neq 0$ which are analytic in the half-plane $C_{+} = \{ z : \Re z > 0 \}$ and satisfy the condition $$( \forall \varepsilon > 0 ) ( \exists c_1 > 0 )...