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Bergman subspaces and subkernels: Degenerate $L^p$ mapping and zeroes

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 نشر من قبل Luke Edholm
 تاريخ النشر 2016
  مجال البحث
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Regularity and irregularity of the Bergman projection on $L^p$ spaces is established on a natural family of bounded, pseudoconvex domains. The family is parameterized by a real variable $gamma$. A surprising consequence of the analysis is that, whenever $gamma$ is irrational, the Bergman projection is bounded only for $p=2$.

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