| Title:
|
Behavior of invariant metrics near convexifiable boundary points (English) |
| Author:
|
Nikolov, Nikolai |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
1 |
| Year:
|
2003 |
| Pages:
|
1-7 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The behaviour of the Carathéodory, Kobayashi and Azukawa metrics near convex boundary points of domains in $\mathbb{C}^n$ is studied. (English) |
| Keyword:
|
Carathéodory metric |
| Keyword:
|
Kobayashi metric |
| Keyword:
|
Azukawa metric |
| Keyword:
|
convexifiable point |
| MSC:
|
32F45 |
| idZBL:
|
Zbl 1018.32012 |
| idMR:
|
MR1961994 |
| . |
| Date available:
|
2009-09-24T10:58:16Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127776 |
| . |
| Reference:
|
[1] K. Azukawa: The invariant pseudo-metric related to negative plurisubharmonic functions.Kodai Math. J. 10 (1987), 83–92. Zbl 0618.32020, MR 0879385, 10.2996/kmj/1138037363 |
| Reference:
|
[2] D. Coman: Boundary behavior of the pluricomplex Green function.Ark. Mat. 36 (1998), 341–353. Zbl 1021.32015, MR 1650450, 10.1007/BF02384773 |
| Reference:
|
[3] H. Gaussier: Tautness and complete hyperbolicity of domains in $\mathbb{C}^n$.Proc. Amer. Math. Soc. 127 (1999), 105–116. MR 1458872, 10.1090/S0002-9939-99-04492-5 |
| Reference:
|
[4] I. Graham: Boundary behavior of the Carathédory and Kobayashi metrics on strongly pseudoconvex domains in $\mathbb{C}^n$ with smooth boundary.Trans. Amer. Math. Soc. 207 (1975), 219–240. MR 0372252 |
| Reference:
|
[5] M. Klimek: Extremal plurisubharmonic function and invariant pseudodistances.Bull. Soc. Math. France 113 (1985), 231–240. MR 0820321, 10.24033/bsmf.2029 |
| Reference:
|
[6] J. Kohn: Global regularity for $\bar{\partial }\Re $ on weakly pseudoconvex manifolds.Trans. Amer. Math. Soc. 181 (1973), 273–292. MR 0344703 |
| Reference:
|
[7] L. Lempert: Holomorphic retracts and intrinsic metrics in convex domains.Analysis Mathematica 8 (1982), 257–261. Zbl 0509.32015, MR 0690838, 10.1007/BF02201775 |
| Reference:
|
[8] N. Nikolov: Localization, stability and boundary behavior of the Kobayashi metrics.Preprint ESI 790, Vienna, 1999, pp. 11. MR 1910713 |
| Reference:
|
[9] N. Sibony: Une classe de domaines pseudoconvexes.Duke Math. J. 55 (1987), 299–319. Zbl 0622.32016, MR 0894582, 10.1215/S0012-7094-87-05516-5 |
| . |
