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 upper half-plane. Finally, for an increasing weight $v$ 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.
Ardalani,M . (2014). An equivalent representation for weighted supremum norm on the upper half-plane. International Journal of Nonlinear Analysis and Applications, 5(2), 67-79. doi: 10.22075/ijnaa.2014.128
MLA
Ardalani,M . "An equivalent representation for weighted supremum norm on the upper half-plane", International Journal of Nonlinear Analysis and Applications, 5, 2, 2014, 67-79. doi: 10.22075/ijnaa.2014.128
HARVARD
Ardalani M. (2014). 'An equivalent representation for weighted supremum norm on the upper half-plane', International Journal of Nonlinear Analysis and Applications, 5(2), pp. 67-79. doi: 10.22075/ijnaa.2014.128
CHICAGO
M Ardalani, "An equivalent representation for weighted supremum norm on the upper half-plane," International Journal of Nonlinear Analysis and Applications, 5 2 (2014): 67-79, doi: 10.22075/ijnaa.2014.128
VANCOUVER
Ardalani M. An equivalent representation for weighted supremum norm on the upper half-plane. IJNAA. 2014;5(2):67-79. doi: 10.22075/ijnaa.2014.128
International Journal of Nonlinear Analysis and Applications