F. A. Shamoyan, V. A. Bednazh, V. A. Kustova, “Blaschke product in Privalov classes”, Sib. Èlektron. Mat. Izv., 2021, Volume 18, Issue 1,Pages <nobr>168

Real, complex and functional analysis

Blaschke product in Privalov classes

F. A. Shamoyan^a, V. A. Bednazh^b, V. A. Kustova^a

^a Saratov State University, 83, Astrakhanskaya str., Saratov, 410012, Russia
^b Bryansk State University, 14, Bezhitskaya str., Bryansk, 410012, Russia

Abstract: In terms of zeros, an exact characterization is given of those Blaschke products for which the nth-order derivative belongs to the class of I. I. Privalov in a single circle.

Keywords: Blaschke product, Privalov class, derivative.

UDC: 517.53

MSC: 30E05, 30H99

Received October 20, 2020, published March 5, 2021

Language: English

DOI: 10.33048/semi.2021.18.014