Sevost’yanov Е. А., Ryazanov Vladimir
(2013)
On convergence and compactness of spatial homeomorphisms.
ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 18 (1).
С. 85–104.
Анотація
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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