On Interpolation Sequences of One Class of Functions Analytic in the Unit Disk

• Date: 2001
• Main Authors: Vynnyts’kyi, B. V., Sheparovych, I. B., Винницький, Б. В., Шепарович, І. Б.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4309
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish a criterion for the existence of a solution of the interpolation problem f(λ n ) = b n in the class of functions f analytic in the unit disk and satisfying the relation $$\left( {\exists {\tau }_{1} \in \left( {0;1} \right)} \right)\;\left( {\exists c_1 >0} \right)\;\left( {\fo...