| Title:
|
Quasiconformality and equivalent norms (English) |
| Author:
|
Craciunas, Silviu |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
2001 |
| Pages:
|
115-123 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the behaviour of a quasiconformal mapping when we change the norms of the considered normed spaces by other equivalent norms. We propose a new metric definition with which we can study the interdependence between a quasiconformal homeomorphism and the new equivalent norms of the normed spaces. (English) |
| Keyword:
|
quasiconformality |
| Keyword:
|
quasiconformal homeomorphisms |
| Keyword:
|
normed space |
| Keyword:
|
equivalent norms |
| Keyword:
|
renorming |
| MSC:
|
30C65 |
| MSC:
|
46G20 |
| idZBL:
|
Zbl 1090.30502 |
| idMR:
|
MR1838408 |
| . |
| Date available:
|
2008-06-06T22:28:36Z |
| Last updated:
|
2014-10-21 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107793 |
| . |
| Reference:
|
[1] Caraman P.: Quasiconformal mappings in real normed spaces.Rev. Roumaine Math. Pures Appl. XXIV, 1 (1979), 33–78. Zbl 0408.30025, MR 0531475 |
| Reference:
|
[2] Crăciunaṣ S.: Quasiconformité dans les espaces localements convexes.Bull. Math. de la Soc. Math. de Roumanie, Tome 34 (82), 1 (1990), 8–16. MR 1086917 |
| Reference:
|
[3] Frunză M.: On an analytic characterization of quasiconformality in normed spaces.An. Ştiinţ. Univ. Al.I. Cuza Iaşi 25, (1979), 273–278. Zbl 0433.30014, MR 0562311 |
| Reference:
|
[4] Väisälä J.: Quasimöbius maps.J. Anal. Math. 44 (1984/85), 218–234. 10.1007/BF02790198 |
| . |
