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

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.

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Bibliographic Details
Date:	1998
Main Authors:	Potemkin, V. L., Ryazanov, V. I., Потемкин, В. Л., Рязанов, В. И.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1998
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4804
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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