6533b827fe1ef96bd128677e

RESEARCH PRODUCT

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

Pekka KoskelaChang-yu Guo

subject

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

description

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].

https://dx.doi.org/10.48550/arxiv.1412.2469