A note on relation between Azukawa isometries at one point and global biholomorphisms
Wybierz format
RIS BIB ENDNOTEA note on relation between Azukawa isometries at one point and global biholomorphisms
Data publikacji: 05.06.2013
Universitatis Iagellonicae Acta Mathematica, 2012, Tom 50, s. 127-131
https://doi.org/10.4467/20843828AM.12.003.1128Autorzy
A note on relation between Azukawa isometries at one point and global biholomorphisms
We prove that under certain assumptions holomorphic functions which are Azukawa isometries at one point are in fact biholomorphisms.
1. Azukawa K., The invariant pseudo-metric related to negative plurisubharmonic functions, Kodai Math. J., 10 (1987), 83–92.
2. Graham I., Holomorphic mappings into strictly convex domains which are Kobayashi isometries at one point, Proc. Amer. Math. Soc., 105 (1989), 917–921.
3. Jarnicki M., Pflug P., Invariant Distances and Metrics in Complex Analysis, De Gruyter Exp. Math., 9, Walter de Gruyter, Berlin, 1993.
4. Klimek M., Extremal plurisubharmonic functions and invariant pseudodistances, Bull. Soc. Math. France, 113 (1985), 231–240.
5. Klimek M., Infinitesimal pseudometrics and the Schwarz Lemma, Proc. Amer. Math. Soc., 105 (1989), 134–140.
6. Klimek M., Pluripotential Theory, Oxford University Press, New York, 1991.
7. Pang M.-Y., On infinitesimal behavior of the Kobayashi distance, Pac. J. Math., 162 (1994), 121–141.
8. Rudin W., Function Theory in the Unit Ball of Cn , Classics in Mathematics, Springer- Verlag, Berlin, 2008.
9. Vigu´e J.-P., Caract´erisation des automorphismes analytiques d’un domaine convexe born´e, C. R. Acad. Sci. Paris, 299 (1984), 101–104.
Informacje: Universitatis Iagellonicae Acta Mathematica, 2012, Tom 50, s. 127-131
Typ artykułu: Oryginalny artykuł naukowy
Instytut Matematyki, Uniwersytet Jagielloński, Kraków, Polska
Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
Publikacja: 05.06.2013
Status artykułu: Otwarte
Licencja: Żadna
Udział procentowy autorów:
Korekty artykułu:
-Języki publikacji:
AngielskiLiczba wyświetleń: 1894
Liczba pobrań: 1169