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
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
