Abstract:
The problems of interpolation on the set of simple and multiple nodes for the Privalov classes of analytic functions in the unit disk are solved in this article.
Keywords:
interpolation, the Carleson condition, simple nodes, multiple nodes, the Privalov classes, analytic functions, unit disk.
\Bibitem{RodBed19}
\by E.~G.~Rodikova, V.~A.~Bednazh
\paper On interpolation for the Privalov classes in a disk
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1762--1775
\mathnet{http://mi.mathnet.ru/semr1165}
\crossref{https://doi.org/10.33048/semi.2019.16.124}
Linking options:
https://www.mathnet.ru/eng/semr1165
https://www.mathnet.ru/eng/semr/v16/p1762
This publication is cited in the following 3 articles:
E. G. Rodikova, “On coefficient multipliers for area Privalov classes”, Ufa Math. J., 13:4 (2021), 80–90
Rodikova Eugenia Gennad'evna, “Multiple interpolation in the Privalov classes in a disk”, Filomat, 35:1 (2021), 271–286
Eugenia G. Rodikova, Faizo A. Shamoyan, “On the differentiation in the Privalov classes”, Zhurn. SFU. Ser. Matem. i fiz., 13:5 (2020), 622–630