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An equivalent representation for weighted supremum norm on the upper half-plane
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نویسنده
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Ardalani Mohammad Ali
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منبع
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international journal of nonlinear analysis and applications - 2014 - دوره : 5 - شماره : 2 - صفحه:67 -79
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چکیده
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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 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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کلیدواژه
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Weighted spaces ,holomorphic functions ,de-la-valle Poussion kernel ,upper half-plane.
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آدرس
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university of kurdistan, Faculty of Science, Department of Mathematics, ایران
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پست الکترونیکی
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m.ardalani@uok.ac.ir
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Authors
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