Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A sharp constant for the Bergman projection   For the Bergman projection operator $P$ we prove that $
\|P\|_{{L^1(B,d\lambda)\rightarrow B_1}}= \frac {(2n+1)!}{n!}.$ Here $\lambda$
stands for the invariant metric in the unit ball $B$ of $\mathbf{C}^n$, and
$B_1$ denotes the Besov space with an adequate semi--norm. We also consider a
generalization of this result. This generalizes some recent results due to
Per\"{a}l\"{a}.

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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: econ