The problem of boundary correspondence |
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Authors: | B. P. Kufarev V. M. Zyuz'kov |
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Affiliation: | (1) Scientific-Research Institute for Applied Mathematics and Mechanics at Tomsk State University, USSR |
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Abstract: | It is proved that those points of the boundary of the disk, to which a homeomorphism of the class BLP, cannot be extended according to Carathéodory (from the disk), form a set of zero (p-)-capacity. Estimates for the distortion of distances under these mappings are given.Translated from Matematicheskie Zametki, Vol. 22, No. 1, pp. 103–108, July, 1977. |
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