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

• Datum: 2004
• Hauptverfasser: Vynnyts’kyi, B. V., Sheparovych, I. B., Винницький, Б. В., Шепарович, І. Б.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2004
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3765
• Назва журналу: 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|...