Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasiconformal extensions, Loewner chains, and the lambda-Lemma   In 1972, J. Becker [J. Reine Angew. Math. 255] discovered a sufficient
condition for quasiconformal extendibility of Loewner chains. Many known
conditions for quasiconformal extendibility of holomorphic functions in the
unit disk can be deduced from his result. We give a new proof of (a
generalization of) Becker's result based on Slodkowski's Extended lambda-Lemma.
Moreover, we characterize all quasiconformal extensions produced by Becker's
(classical) construction and use that to obtain examples in which Becker's
extension is extremal (i.e. optimal in the sense of maximal dilatation) or, on
the contrary, fails to be extremal.

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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph