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On the compactness of homeomorphisms with integrable dilatations

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Abstract

In this paper, a distortion theorem and some equicontinuity and compactness theorems are obtained for the homeomorphismf with the sphere dilatationH(x,f)L loc(D).

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Supported by the National Natural Science Foundation of China and the Dctoral Foundation of the Education Commission of China

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Ainong, F. On the compactness of homeomorphisms with integrable dilatations. Acta Mathematica Sinica 14, 161–168 (1998). https://doi.org/10.1007/BF02560202

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  • DOI: https://doi.org/10.1007/BF02560202

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