The oscillation of separately locally Lipschitz functions

Authors

  • V.H. Herasymchuk Yuriy Fedkovych Chernivtsi National University, 2 Kotsjubynskyi str., 58012, Chernivtsi, Ukraine
  • O.V. Maslyuchenko Yuriy Fedkovych Chernivtsi National University, 2 Kotsjubynskyi str., 58012, Chernivtsi, Ukraine

Keywords:

oscillation, locally Lipschitz function, separately locally Lipschitz function, $C\mathcal{L}$-function
Published online: 2011-06-30

Abstract

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.

How to Cite
(1)
Herasymchuk, V.; Maslyuchenko, O. The Oscillation of Separately Locally Lipschitz Functions. Carpathian Math. Publ. 2011, 3, 22–33.