On the noncompactness of classes of mappings with restrictions on dilation in measure

  • V. L. Potemkin
  • V. I. Ryazanov Ин-т прикл. математики и механики НАН Украины, Донецк

Abstract

We establish that the classes of mappings with restrictions in measure cannot be compact except for certain degenerate cases. In particular, this implies that any David class ΓI is noncompact.
Published
25.11.1998
How to Cite
PotemkinV. L., and RyazanovV. I. “On the Noncompactness of Classes of Mappings With Restrictions on Dilation in Measure”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 11, Nov. 1998, pp. 1522–1531, https://umj.imath.kiev.ua/index.php/umj/article/view/4804.
Section
Research articles