Sevost’yanov Е. А. and Ryazanov Vladimir (2013) On convergence and compactness of spatial homeomorphisms. ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS. Т. 18, № 1. pp. 85-104.
Preview
Rrc13_1.pdf
Download (345kB) | Preview
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | convergence, compactness, normality, homeomorphisms, moduli and capacity. |
| Subjects: | Q Science > QA Mathematics > QA77 Mathematical Analysis |
| Divisions: | Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analytics and Statistics |
| Depositing User: | Ірина Ігорівна Таргонська |
| Date Deposited: | 14 Nov 2014 11:02 |
| Last Modified: | 15 Aug 2015 13:16 |
| URI: | https://eprints.zu.edu.ua/id/eprint/13998 |
| ДСТУ 8302:2015: | Sevost’yanov Е. А. and Ryazanov Vladimir On convergence and compactness of spatial homeomorphisms. ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS. 2013. Т. 18, № 1. pp. 85-104. |
Actions (login required)
- View Item