Quasiconformality and equivalent norms
Archivum mathematicum, Tome 37 (2001) no. 2, pp. 115-123
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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},
publisher = {mathdoc},
volume = {37},
number = {2},
year = {2001},
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/