Geodesic
Boundary Schwarz lemma and rigidity property for holomorphic mappings of the unit polydisc in C n
Filomat, Tome 34 (2020) no. 9, p. 2813

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

DOI

In this paper, we generalize the classical Schwarz lemma at the boundary from the unit disk D in the complex plane to the unit polydisc D n in higher-dimensional complex space. Two boundary Schwarz lemmas for holomorphic mappings of D n and corresponding rigidity properties are established without the restriction of the interior fixed point.
DOI : 10.2298/FIL2009813H
Classification : 30C80, 30H02
Keywords: Boundary Schwarz lemma, Rigidity property, Holomorphic mapping, Unit polydisc 
Ziyan Huang; Di Zhao; Hongyi Li. Boundary Schwarz lemma and rigidity property for holomorphic mappings of the unit polydisc in C n. Filomat, Tome 34 (2020) no. 9, p. 2813 . doi: 10.2298/FIL2009813H
@article{10_2298_FIL2009813H,
     author = {Ziyan Huang and Di Zhao and Hongyi Li},
     title = {Boundary {Schwarz} lemma and rigidity property for holomorphic mappings of the unit polydisc in {C} n},
     journal = {Filomat},
     pages = {2813 },
     year = {2020},
     volume = {34},
     number = {9},
     doi = {10.2298/FIL2009813H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009813H/}
}
TY  - JOUR
AU  - Ziyan Huang
AU  - Di Zhao
AU  - Hongyi Li
TI  - Boundary Schwarz lemma and rigidity property for holomorphic mappings of the unit polydisc in C n
JO  - Filomat
PY  - 2020
SP  - 2813 
VL  - 34
IS  - 9
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2009813H/
DO  - 10.2298/FIL2009813H
LA  - en
ID  - 10_2298_FIL2009813H
ER  - 
%0 Journal Article
%A Ziyan Huang
%A Di Zhao
%A Hongyi Li
%T Boundary Schwarz lemma and rigidity property for holomorphic mappings of the unit polydisc in C n
%J Filomat
%D 2020
%P 2813 
%V 34
%N 9
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2009813H/
%R 10.2298/FIL2009813H
%G en
%F 10_2298_FIL2009813H

Cité par Sources :