Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Radial length, radial John disks and $K$-quasiconformal harmonic
  mappings   In this article, we continue our investigations of the boundary behavior of
harmonic mappings. We first discuss the classical problem on the growth of
radial length and obtain a sharp growth theorem of the radial length of
$K$-quasiconformal harmonic mappings. Then we present an alternate
characterization of radial John disks. In addition, we investigate the linear
measure distortion and the Lipschitz continuity on $K$-quasiconformal harmonic
mappings of the unit disk onto a radial John disk. Finally, using Pommerenke
interior domains, we characterize certain differential properties of
$K$-quasiconformal harmonic mappings.

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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci