ON QUASICONFORMAL MAPS WITH IDENTITY BOUNDARY VALUES
: Manojlovic V, Vuorinen M
Publisher: AMER MATHEMATICAL SOC
: 2011
: Transactions of the American Mathematical Society
: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
: T AM MATH SOC
: 5
: 363
: 5
: 2467
: 2479
: 13
: 0002-9947
DOI: https://doi.org/10.1090/S0002-9947-2010-04994-3
Quasiconformal homeomorphisms of the unit ball B-n of R-n, n >= 3, onto itself with identity boundary values are studied. A spatial analogue of Teichmuller's theorem is proved.