An equivalent representation for weighted supremum norm on the upper half-plane
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-5-2_009
تاریخ نمایه سازی: 11 آذر 1401
Abstract:
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.
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Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: ۶۶۱۷۷-۱۷۵ Sanandaj, Iran.