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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Gutlyanskiĭ, V.Y., Golberg, A. On lipschitz continuity of quasiconformalmappings in space. JAMA 109, 233–251 (2009). https://doi.org/10.1007/s11854-009-0032-1
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DOI: https://doi.org/10.1007/s11854-009-0032-1