Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lipschitz Estimates for Conformal Maps from the Unit Disk to Convex
  Domains   We obtain an explicit uniform upper bound for the derivative of a conformal
mapping of the unit disk onto a convex domain. This estimate depends only on
the outer and inner radii of the domain, and on a curvature radius of its
boundary. Its proof is based on a M\"obius invariant metric of hyperbolic type,
introduced by Kulkarni and Pinkall in 1994.

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The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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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: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th