محمد علی اردلانی

In this paper, firstly, we obtain some inequalities which estimates complex polynomials on the circles. Then , we use these estimates and a Moebius transformation to obtain the dual of this estimates for the lines in the upper half-plane. Finally, for an increasing weight $\nu$ on the upper half-plane with certain properties and holomorphic functions f on the upper half-plane we obtain an equivalent representation for weighted supremum norm