Title of article
Bases from generalized Faber polynomials in weighted Smirnov spaces
Author/Authors
Sadigova, Sabina R. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Mammadova, Natavan G. Department of Informatics - Ganja State University, Ganja, Azerbaijan , Mammadova, Zahira V. British School in Baku, Baku, Azerbaijan
Pages
10
From page
124
To page
133
Abstract
In the paper it is considered the generalized Faber polynomials defined inside and outside
a regular curve on the complex plane. The weighted Smirnov spaces corresponding to bounded and unbounded
regions are defined. It is proved that the generalized Faber polynomials forms a basis in weighted
Smirnov spaces, if the weight function satisfies the Muckenhoupt condition on the regular curve
Keywords
Faber polynomials , weighted Smirnov’s classes , basisness
Journal title
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Serial Year
2018
Full Text URL
Record number
2611779
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