On lipschitz continuity of quasiconformalmappings in space |
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| Authors: | Vladimir Ya Gutlyanski? Anatoly Golberg |
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| Institution: | 1.Institute of Applied Mathematics And Mechanics,Nas of Ukraine,Donetsk,Ukraine;2.Department of Applied Mathematics,Holon Institute of Technology,Holon,Israel |
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| Abstract: | Sufficient conditions for a spatial quasiconformal mapping f to be Lipschitz or weak Lipschitz continuous at a prescribed point are given. The proofs of these results are based on new
growth estimates for the conformal modulus under quasiconformal mappings f. The estimates are written in terms of integral means of the co-called pointwise angular dilatation coefficient. |
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