Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuity of the barycentric extension of circle diffeomorphisms of
  H\"older continuous derivatives   The barycentric extension due to Douady and Earle gives a conformally natural
extension of a quasisymmetric automorphism of the circle to a quasiconformal
automorphism of the unit disk. We consider such extensions for circle
diffeomorphisms of H\"older continuous derivatives and show that this operation
is continuous with respect to an appropriate topology for the space of the
corresponding Beltrami coefficients.

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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga