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تسجيل مستخدم جديدEquivalent Bergman Spaces with Inequivalent Weights
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تأليف
Blake J. Boudreaux
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We give a proof that every space of weighted square-integrable holomorphic functions admits an equivalent weight whose Bergman kernel has zeroes. Here the weights are equivalent in the sense that they determine the same space of holomorphic functions. Additionally, a family of radial weights in $L^1(mathbb{C})$ whose associated Bergman kernels have infinitely many zeroes is exhibited.
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