TY - JOUR
AU - Herasymchuk, V.H.
AU - Maslyuchenko, O.V.
PY - 2011/06/30
Y2 - 2024/03/05
TI - The oscillation of separately locally Lipschitz functions
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 3
IS - 1
SE - Scientific articles
DO -
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3082
SP - 22–33
AB - We prove that a function which defined on the product of two metric Baire spaces is the oscillation of some separately locally Lipschitz function if and only if it is an upper semi-continuous non-negative function which has a crosswise nowhere dense closure of its support.
ER -