An equivalent representation for weighted supremum norm on the upper half-plane
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Abstract:
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 forthe lines in upper half-plane. Finally, for an increasing weight on the upper half-plane withcertain properties and holomorphic functions f on the upper half-plane we obtain an equivalentrepresentation for weighted supremum norm.
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Journal title
volume 5 issue 2
pages 67- 79
publication date 2014-07-01
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