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- W3105287257 abstract "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." @default.
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- W3105287257 date "2018-09-06" @default.
- W3105287257 modified "2023-10-17" @default.
- W3105287257 title "Quasiconformal extensions, Loewner chains, and the $$lambda $$ λ -Lemma" @default.
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- W3105287257 doi "https://doi.org/10.1007/s13324-018-0247-3" @default.
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