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 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
M.A. 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
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
VANCOUVER
Ardalani, M. An equivalent representation for weighted supremum norm on the upper half-plane. International Journal of Nonlinear Analysis and Applications, 2014; 5(2): 67-79. doi: 10.22075/ijnaa.2014.128
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