MATHEMATICS

On the inverse theorem of rational approximations for Bergman space

V. R. Misiuk

Y. Kupala Grodno State University, Grodno

Abstract: In this paper we study the inverse theorems of the theory of rational approximations. We prove the analogues of these theorems in the Bergman space of analytical functions in the circle.

Keywords: rational functions, the best rational approximation, Bergman space, rational approximation.

UDC: 517.53

Received: 22.03.2010