Integral representation of the trace on the sphere of a~certain class of vector fields, and uniform estimates of stability for quasiconformal mappings of the ball
Sbornik. Mathematics, Tome 61 (1988) no. 1, pp. 239-257
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An integral representation is established for the trace of a vector field on the sphere in terms of a single differential operator. A concrete uniform estimate of stability is obtained for quasiconformal mappings of the ball as a consequence.
Bibliography: 8 titles.
@article{SM_1988_61_1_a17,
author = {V. I. Semenov},
title = {Integral representation of the trace on the sphere of a~certain class of vector fields, and uniform estimates of stability for quasiconformal mappings of the ball},
journal = {Sbornik. Mathematics},
pages = {239--257},
publisher = {mathdoc},
volume = {61},
number = {1},
year = {1988},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1988_61_1_a17/}
}
TY - JOUR AU - V. I. Semenov TI - Integral representation of the trace on the sphere of a~certain class of vector fields, and uniform estimates of stability for quasiconformal mappings of the ball JO - Sbornik. Mathematics PY - 1988 SP - 239 EP - 257 VL - 61 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1988_61_1_a17/ LA - en ID - SM_1988_61_1_a17 ER -
%0 Journal Article %A V. I. Semenov %T Integral representation of the trace on the sphere of a~certain class of vector fields, and uniform estimates of stability for quasiconformal mappings of the ball %J Sbornik. Mathematics %D 1988 %P 239-257 %V 61 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1988_61_1_a17/ %G en %F SM_1988_61_1_a17
V. I. Semenov. Integral representation of the trace on the sphere of a~certain class of vector fields, and uniform estimates of stability for quasiconformal mappings of the ball. Sbornik. Mathematics, Tome 61 (1988) no. 1, pp. 239-257. http://geodesic.mathdoc.fr/item/SM_1988_61_1_a17/