2017
Том 69
№ 9

All Issues

On the boundary behavior of imbeddings of metric spaces into a Euclidean space

Salimov R. R.

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Abstract

We investigate the boundary behavior of so-called Q-homeomorphisms with respect to a measure in some metric spaces. We formulate a series of conditions for the function Q(x) and the boundary of the domain under which any Q-homeomorphism with respect to a measure admits a continuous extension to a boundary point.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 8, pp 1184-1191.

Citation Example: Salimov R. R. On the boundary behavior of imbeddings of metric spaces into a Euclidean space // Ukr. Mat. Zh. - 2007. - 59, № 8. - pp. 1068–1074.

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