عنوان
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Weighted spaces of holomorphic functions on the upper halfplane
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Holomorphic functions, Weighted spaces, Isomorphic clasiffication, upper halfplane
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چکیده
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We discuss weighted spaces Hv(G) of holomorphic functions on the upper halfplane G where v(w) = v(i Im w), w ∈ G, limt!0 v(it) = 0 and v(it) is increasing in t. We characterize those weights v with moderate growth where Hv(G) is isomorphic to l1 and we show that this is never the case if v is bounded.
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پژوهشگران
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محمد علی اردلانی (نفر اول)، ولفگانگ لوسکی (نفر دوم)
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