Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Application of the Pr\'ekopa-Leindler Inequality and Sobolev
  Regularity of Weighted Bergman Projections   We prove a general version of \cite[Theorem 4.1]{Boas84} to obtain Sobolev
estimates for weighted Bergman projections on convex Reinhardt domains by using
the Pr\'ekopa-Leindler inequality.

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The categories of this paper are: q-alg
3
The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom