We give an example relating to the regularity properties of mappings with finite distortion. This example suggests conditions to be imposed on the distortion function in order to avoid "cavitation in measure".
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm149-2-4, author = {Tadeusz Iwaniec and Gaven Martin}, title = {Squeezing the Sierpinski sponge}, journal = {Studia Mathematica}, volume = {151}, year = {2002}, pages = {133-145}, zbl = {0992.30010}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm149-2-4} }
Tadeusz Iwaniec; Gaven Martin. Squeezing the Sierpinski sponge. Studia Mathematica, Tome 151 (2002) pp. 133-145. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm149-2-4/