Sevost’yanov, Е. А., Ryazanov, Vladimir
(2013)
On convergence and compactness of spatial homeomorphisms.
ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 18 (1).
pp. 85-104.
Abstract
Various theorems on convergence of general space homeomorphisms are proved and, on this basis, theorems on convergence and compactness for classes of the
so-called ring Q-homeomorphisms are obtained. In particular, it was established
by us that a family of all ring Q-homeomorphisms f in Rn �xing two points is
compact provided that the function Q is of �nite mean oscillation. These results
will have broad applications to Sobolev's mappings.
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