Geodesic
Harmonic mappings and distance function
Kalaj, David1
1University of Montenegro Faculty of Natural Sciences and Mathematics Cetinjski put b.b. 81000 Podgorica, Montenegro
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 3, pp. 669-681

Voir la notice de l'article provenant de la source Numdam

MR Zbl

We prove the following theorem: every quasiconformal harmonic mapping between two plane domains with C 1,α (α<1) and, respectively, C 1,1 compact boundary is bi-Lipschitz. This theorem extends a similar result of the author [10] for Jordan domains, where stronger boundary conditions for the image domain were needed. The proof uses distance function from the boundary of the image domain.

Publié le :
Classification : 58E20, 30C62

Kalaj, David  1

1 University of Montenegro Faculty of Natural Sciences and Mathematics Cetinjski put b.b. 81000 Podgorica, Montenegro 
Kalaj, David. Harmonic mappings and distance function. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 3, pp. 669-681. http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_3_669_0/
@article{ASNSP_2011_5_10_3_669_0,
     author = {Kalaj, David},
     title = {Harmonic mappings and distance function},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {669--681},
     year = {2011},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 10},
     number = {3},
     mrnumber = {2905382},
     zbl = {1252.30018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_3_669_0/}
}
TY  - JOUR
AU  - Kalaj, David
TI  - Harmonic mappings and distance function
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 2011
SP  - 669
EP  - 681
VL  - 10
IS  - 3
PB  - Scuola Normale Superiore, Pisa
UR  - http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_3_669_0/
LA  - en
ID  - ASNSP_2011_5_10_3_669_0
ER  - 
%0 Journal Article
%A Kalaj, David
%T Harmonic mappings and distance function
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 2011
%P 669-681
%V 10
%N 3
%I Scuola Normale Superiore, Pisa
%U http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_3_669_0/
%G en
%F ASNSP_2011_5_10_3_669_0