"0003-9527" . . . . "Homeomorfismy s kone\u010Dnou variac\u00ED"@cs . "10"^^ . . "Z(MSM0021620839)" . . "3" . "We show that the inverse of a planar homeomorphism of bounded variation is also of bounded variation. In higher dimensions we show that $f^{-1}$ is of bounded variation provided that $f\\in W^{1,1}(\\Omega;\\rn)$ is a homeomorphism with $|Df|$ in the Lorentz space $L^{n-1,1}(\\Omega)$."@en . "RIV/00216208:11320/07:00005648" . "Homeomorphisms of bounded variation"@en . . . "Homeomorphisms of bounded variation" . "Homeomorphisms of bounded variation" . "We show that the inverse of a planar homeomorphism of bounded variation is also of bounded variation. In higher dimensions we show that $f^{-1}$ is of bounded variation provided that $f\\in W^{1,1}(\\Omega;\\rn)$ is a homeomorphism with $|Df|$ in the Lorentz space $L^{n-1,1}(\\Omega)$." . "Archive for Rational Mechanics and Analysis" . "[DF0139446B15]" . "1"^^ . . "3"^^ . "Hencl, Stanislav" . "Homeomorfismy s kone\u010Dnou variac\u00ED"@cs . . . "424705" . . . "Homeomorphisms; bounded; variation"@en . "351;360" . . . "DE - Spolkov\u00E1 republika N\u011Bmecko" . "Homeomorphisms of bounded variation"@en . . "186" . "11320" . "RIV/00216208:11320/07:00005648!RIV08-MSM-11320___" . "Dok\u00E1\u017Eeme, \u017Ee ve dvou dimenz\u00EDch je inverze homeomorfismu s kone\u010Dnou variac\u00ED tak\u00E9 zobrazen\u00ED s kone\u010Dnou variac\u00ED. Ve v\u00EDce dimenz\u00EDch dok\u00E1\u017Eeme, \u017Ee $f^{-1}$ m\u00E1 kone\u010Dnou variaci, pokud $f\\in W^{1,1}(\\Omega;\\rn)$ je homeomorfismus a $|Df|$ le\u017E\u00ED v Lorentzov\u011B prostoru $L^{n-1,1}(\\Omega)$."@cs .