Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 103-108
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B. P. Kufarev; V. M. Zyuz'kov. The problem of boundary correspondence. Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 103-108. http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a10/
@article{MZM_1977_22_1_a10,
author = {B. P. Kufarev and V. M. Zyuz'kov},
title = {The problem of boundary correspondence},
journal = {Matemati\v{c}eskie zametki},
pages = {103--108},
year = {1977},
volume = {22},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a10/}
}
TY - JOUR
AU - B. P. Kufarev
AU - V. M. Zyuz'kov
TI - The problem of boundary correspondence
JO - Matematičeskie zametki
PY - 1977
SP - 103
EP - 108
VL - 22
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a10/
LA - ru
ID - MZM_1977_22_1_a10
ER -
%0 Journal Article
%A B. P. Kufarev
%A V. M. Zyuz'kov
%T The problem of boundary correspondence
%J Matematičeskie zametki
%D 1977
%P 103-108
%V 22
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a10/
%G ru
%F MZM_1977_22_1_a10
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.
