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Matematicheskie Zametki, 1977, Volume 22, Issue 1, Pages 103–108 (Mi mzm8029)  
The problem of boundary correspondence

B. P. Kufarev, V. M. Zyuz'kov

Scientific Research Institute of Applied Mathematics and Mechanics by Tomsk State University
Full-text PDF (398 kB)
Abstract: It is proved that those points of the boundary of the disk, to which a homeomorphism of the class $BL^{p,\alpha}$ cannot be extended according to Carathéodory (from the disk), form a set of zero $(p-\alpha)$–capacity. Estimates for the distortion of distances under these mappings are given.
Received: 12.07.1974
English version:
Mathematical Notes, 1977, Volume 22, Issue 1, Pages 546–549
DOI: https://doi.org/10.1007/BF01147697
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: B. P. Kufarev, V. M. Zyuz'kov, “The problem of boundary correspondence”, Mat. Zametki, 22:1 (1977), 103–108; Math. Notes, 22:1 (1977), 546–549
Citation in format AMSBIB
\Bibitem{KufZyu77}
\by B.~P.~Kufarev, V.~M.~Zyuz'kov
\paper The problem of boundary correspondence
\jour Mat. Zametki
\yr 1977
\vol 22
\issue 1
\pages 103--108
\mathnet{http://mi.mathnet.ru/mzm8029}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=457729}
\zmath{https://zbmath.org/?q=an:0372.30017}
\transl
\jour Math. Notes
\yr 1977
\vol 22
\issue 1
\pages 546--549
\crossref{https://doi.org/10.1007/BF01147697}
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