An equivalent representation for weighted supremum norm on the upper half-plane | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 9، دوره 5، شماره 2، 2014، صفحه 67-79 اصل مقاله (378.34 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2014.128 | ||
| نویسنده | ||
| M.A. Ardalani* | ||
| Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-175 Sanandaj, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Weighted spaces؛ holomorphic functions؛ de-la-Valle Poussion kernel؛ upper half-plane | ||
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