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Sharpness of uniform continuity of quasiconformal mappings onto s-John domains

2017

We construct examples to show the sharpness of uniform continuity of quasiconformal mappings onto $s$-John domains. Our examples also give a negative answer to a prediction in [7].

Pure mathematicsMathematics - Complex VariablesGeneral Mathematics010102 general mathematicsta111s-John domainquasiconformal mappinginternal diameter16. Peace & justice01 natural sciencesNegative - answerUniform continuity30C62 30C65FOS: Mathematics0101 mathematicsinternal metricComplex Variables (math.CV)Construct (philosophy)Mathematicsuniform continuity

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