Interpolation Sequences for the Class of Functions of Finite η-Type Analytic in the Unit Disk

• Date: 2004
• 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 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3765
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions 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 such that $$\left( {\exists \;c_1 > 0} \right)\;\left( {\forall z,\;|\;z\;| < 1} \right):\;\;\left| {f\left( z \right)} \right|...