Quasiconformality and equivalent norms
Archivum mathematicum, Tome 37 (2001) no. 2, pp. 115-123
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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.
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.
Classification :
30C65, 46G20
Keywords: quasiconformality; quasiconformal homeomorphisms; normed space; equivalent norms; renorming
Keywords: quasiconformality; quasiconformal homeomorphisms; normed space; equivalent norms; renorming
@article{ARM_2001_37_2_a2,
author = {Craciunas, Silviu},
title = {Quasiconformality and equivalent norms},
journal = {Archivum mathematicum},
pages = {115--123},
year = {2001},
volume = {37},
number = {2},
mrnumber = {1838408},
zbl = {1090.30502},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2001_37_2_a2/}
}
Craciunas, Silviu. Quasiconformality and equivalent norms. Archivum mathematicum, Tome 37 (2001) no. 2, pp. 115-123. http://geodesic.mathdoc.fr/item/ARM_2001_37_2_a2/
[1] Caraman P.: Quasiconformal mappings in real normed spaces. Rev. Roumaine Math. Pures Appl. XXIV, 1 (1979), 33–78. | MR | Zbl
[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
[3] Frunză M.: On an analytic characterization of quasiconformality in normed spaces. An. Ştiinţ. Univ. Al.I. Cuza Iaşi 25, (1979), 273–278. | MR | Zbl
[4] Väisälä J.: Quasimöbius maps. J. Anal. Math. 44 (1984/85), 218–234. | DOI