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.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 11, pp. 1522–1531, November, 1998.
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Potemkin, V.L., Ryazanov, V.I. On the noncompactness of classes of mappings with restrictions on dilation in measure. Ukr Math J 50, 1738–1749 (1998). https://doi.org/10.1007/BF02524480
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DOI: https://doi.org/10.1007/BF02524480