An inverse Sobolev lemma.

Koskela, Pekka. "An inverse Sobolev lemma.." Revista Matemática Iberoamericana 10.1 (1994): 123-141. <http://eudml.org/doc/39458>.

@article{Koskela1994,
abstract = {We establish an inverse Sobolev lemma for quasiconformal mappings and extend a weaker version of the Sobolev lemma for quasiconformal mappings of the unit ball of Rn to the full range 0 &lt; p &lt; n. As an application we obtain sharp integrability theorems for the derivative of a quasiconformal mapping of the unit ball of Rn in terms of the growth of the mapping.},
author = {Koskela, Pekka},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones integro-diferenciales; Función K-casi-conformal; Espacio euclídeo; integrability of the derivative of quasiconformal mapping},
language = {eng},
number = {1},
pages = {123-141},
title = {An inverse Sobolev lemma.},
url = {http://eudml.org/doc/39458},
volume = {10},
year = {1994},
}

TY - JOUR
AU - Koskela, Pekka
TI - An inverse Sobolev lemma.
JO - Revista Matemática Iberoamericana
PY - 1994
VL - 10
IS - 1
SP - 123
EP - 141
AB - We establish an inverse Sobolev lemma for quasiconformal mappings and extend a weaker version of the Sobolev lemma for quasiconformal mappings of the unit ball of Rn to the full range 0 &lt; p &lt; n. As an application we obtain sharp integrability theorems for the derivative of a quasiconformal mapping of the unit ball of Rn in terms of the growth of the mapping.
LA - eng
KW - Ecuaciones integro-diferenciales; Función K-casi-conformal; Espacio euclídeo; integrability of the derivative of quasiconformal mapping
UR - http://eudml.org/doc/39458
ER -