Title of article :
An equivalent representation for weighted supremum norm on the upper half-plane
Ardalani, Mohammad Ali Department of Mathematics - Faculty of Science - University of Kurdistan - Pasdaran Ave., Sanandaj
In this paper, rstly, 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 upper half-plane. Finally, for an increasing weight f 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.
Weighted spaces , holomorphic functions , de-la-valle Poussion kernel , upper half-plane
Journal title :