Geodesic
HÖlder Spaces of Quasiconformal Mappings
Publications de l'Institut Mathématique, _N_S_75 (2004) no. 89, p. 87 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We prove that a $K$-quasiconformal mapping belongs to the little Hölder space $c^{0,1/K}$ if and only if its local modulus of continuity has an appropriate order of vanishing at every point. No such characterization is possible for Hölder spaces with exponent greater than $1/K$.
DOI : 10.2298/PIM0475087K
Classification : 30C62 26B35
Keywords: quasiconformal mappings, Hölder spaces, linear dilatation, modulus of continuity 
@article{10_2298_PIM0475087K,
     author = {Leonid V. Kovalev},
     title = {H\"Older {Spaces} of {Quasiconformal} {Mappings}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {87 },
     publisher = {mathdoc},
     volume = {_N_S_75},
     number = {89},
     year = {2004},
     doi = {10.2298/PIM0475087K},
     zbl = {1086.30023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0475087K/}
}
TY  - JOUR
AU  - Leonid V. Kovalev
TI  - HÖlder Spaces of Quasiconformal Mappings
JO  - Publications de l'Institut Mathématique
PY  - 2004
SP  - 87 
VL  - _N_S_75
IS  - 89
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM0475087K/
DO  - 10.2298/PIM0475087K
LA  - en
ID  - 10_2298_PIM0475087K
ER  - 
%0 Journal Article
%A Leonid V. Kovalev
%T HÖlder Spaces of Quasiconformal Mappings
%J Publications de l'Institut Mathématique
%D 2004
%P 87 
%V _N_S_75
%N 89
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM0475087K/
%R 10.2298/PIM0475087K
%G en
%F 10_2298_PIM0475087K
Leonid V. Kovalev. HÖlder Spaces of Quasiconformal Mappings. Publications de l'Institut Mathématique, _N_S_75 (2004) no. 89, p. 87 . doi : 10.2298/PIM0475087K. http://geodesic.mathdoc.fr/articles/10.2298/PIM0475087K/

Cité par Sources :