On the interpolation problem for bounded $A\left( z \right)$-analytic functions

Bakhodir A. Shoimkhulov, Muhayyo D. Ne'matillayeva

National University of Uzbekistan, Tashkent, Uzbekistan

Abstract: We consider $A\left( z \right)$-analytic functions in the case when $A\left( z \right)$ is an antiholomorpic function. In this paper, an analog of Carleson's interpolation theorem is proved for $A\left( z \right)$-analytic functions.

Keywords: $A\left( z \right)$-analytic functions, $A\left( z \right)$-lemniscate, interpolation sequence, Blaschke product.

UDC: 517.54

Received: 13.04.2025
Received in revised form: 20.05.2025
Accepted: 20.06.2025

Language: English