On boundedness of integral means of Blaschke product logarithms

On boundedness of integral means of Blaschke product logarithms

Using the Fourier series method for the analytic functions, we obtain a result characterizing the behaviour of the integral means of Blaschke product logarithms. Namely, if the zero counting function n(r, B) of the Blaschke product B satisfies the conditionwhere l is a positive function on (0, 1)...

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Bibliographic Details
Main Authors: YA. V. Vasylkiv, A. A. Kondratyuk, S. I. Tarasyuk
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2003-09-01
Series:Mathematical Modelling and Analysis
Subjects:
Fourier series
anlytic functions
Blaschke product logarithms
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9782

Internet

https://journals.vgtu.lt/index.php/MMA/article/view/9782

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