We note a gap in Sciffer's construction of an everywhere irregular Lipschitz function on the line and provide a different simple construction of such a function, which even reaches maximal irregularity at every point.
Publié le : 2002-05-14
Classification:
Dini derivatives,
Clarke derivative,
regularity,
26A27
@article{1150118747,
author = {Preiss, David and Rolland, Louise},
title = {Regularity of Lipschitz functions on the line.},
journal = {Real Anal. Exchange},
volume = {28},
number = {1},
year = {2002},
pages = { 221-228},
language = {en},
url = {http://dml.mathdoc.fr/item/1150118747}
}
Preiss, David; Rolland, Louise. Regularity of Lipschitz functions on the line.. Real Anal. Exchange, Tome 28 (2002) no. 1, pp. 221-228. http://gdmltest.u-ga.fr/item/1150118747/