Quasiconformality and equivalent norms
Archivum Mathematicum (2001)
- Volume: 037, Issue: 2, page 115-123
- ISSN: 0044-8753
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topCraciunas, Silviu. "Quasiconformality and equivalent norms." Archivum Mathematicum 037.2 (2001): 115-123. <http://eudml.org/doc/262057>.
@article{Craciunas2001,
abstract = {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.},
author = {Craciunas, Silviu},
journal = {Archivum Mathematicum},
keywords = {quasiconformality; quasiconformal homeomorphisms; normed space; equivalent norms; renorming; quasiconformality; quasiconformal homeomorphisms; equivalent norms; renorming; normed space},
language = {eng},
number = {2},
pages = {115-123},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Quasiconformality and equivalent norms},
url = {http://eudml.org/doc/262057},
volume = {037},
year = {2001},
}
TY - JOUR
AU - Craciunas, Silviu
TI - Quasiconformality and equivalent norms
JO - Archivum Mathematicum
PY - 2001
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 037
IS - 2
SP - 115
EP - 123
AB - 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.
LA - eng
KW - quasiconformality; quasiconformal homeomorphisms; normed space; equivalent norms; renorming; quasiconformality; quasiconformal homeomorphisms; equivalent norms; renorming; normed space
UR - http://eudml.org/doc/262057
ER -
References
top- Caraman P., Quasiconformal mappings in real normed spaces, Rev. Roumaine Math. Pures Appl. XXIV, 1 (1979), 33–78. (1979) Zbl0408.30025MR0531475
- Crăciunaṣ S., Quasiconformité dans les espaces localements convexes, Bull. Math. de la Soc. Math. de Roumanie, Tome 34 (82), 1 (1990), 8–16. (1990) MR1086917
- Frunză M., On an analytic characterization of quasiconformality in normed spaces, An. Ştiinţ. Univ. Al.I. Cuza Iaşi 25, (1979), 273–278. (1979) Zbl0433.30014MR0562311
- Väisälä J., 10.1007/BF02790198, J. Anal. Math. 44 (1984/85), 218–234. (1984) DOI10.1007/BF02790198
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