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

• Datum: 1998
• Hauptverfasser: Potemkin, V. L., Ryazanov, V. I., Потемкин, В. Л., Рязанов, В. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4804
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.