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Equivalent Bergman Spaces with Inequivalent Weights

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 نشر من قبل Blake Boudreaux
 تاريخ النشر 2018
  مجال البحث
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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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