@article{AFST_1999_6_8_3_537_0, author = {Zwonek, W{\l}odzimierz}, title = {On {Bergman} completeness of pseudoconvex {Reinhardt} domains}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {537--552}, publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences}, address = {Toulouse}, volume = {Ser. 6, 8}, number = {3}, year = {1999}, zbl = {0963.32003}, language = {en}, url = {http://www.numdam.org/item/AFST_1999_6_8_3_537_0/} }
TY - JOUR AU - Zwonek, Włodzimierz TI - On Bergman completeness of pseudoconvex Reinhardt domains JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1999 SP - 537 EP - 552 VL - 8 IS - 3 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - http://www.numdam.org/item/AFST_1999_6_8_3_537_0/ LA - en ID - AFST_1999_6_8_3_537_0 ER -
%0 Journal Article %A Zwonek, Włodzimierz %T On Bergman completeness of pseudoconvex Reinhardt domains %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1999 %P 537-552 %V 8 %N 3 %I Université Paul Sabatier. Faculté des sciences %C Toulouse %U http://www.numdam.org/item/AFST_1999_6_8_3_537_0/ %G en %F AFST_1999_6_8_3_537_0
Zwonek, Włodzimierz. On Bergman completeness of pseudoconvex Reinhardt domains. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 8 (1999) no. 3, pp. 537-552. http://www.numdam.org/item/AFST_1999_6_8_3_537_0/
[Bło-Pfl] Hyperconvexity and Bergman completeness, Nagoya Math. J., 151 (1998), 221-225. | Zbl
) & ). -[Bre] Holomorphic continuation of the kernel and the Bergman metric, in 'Lectures on functions of a complex variable', Univ. of Mich. Press (1955), 349-383. | MR | Zbl
). -[Car-Ceg-Wik] Jensen Meauseres, Hyperconvexity and Boundary Behaviour of the Pluricomplex Green Function, Ann. Pol. Math., 71 (1999), 87-103. | Zbl
), ) & ). -[Chen] Completeness of the Bergman metric on non-smooth pseudoconvex domains, Ann. Pol. Math., 71 (1999) 242-251. | MR | Zbl
). -[Fu] On completeness of invariant metrics of Reinhardt domains, Arch. Math. 63 (1994), 166-172. | MR | Zbl
). -[Har-Wri] An Introduction to the Theory of Numbers, Oxford Science Publ., 1978.
) & ). -[Her] The Bergman metric on hyperconvex domains, Math. Z. 232 (1) (1999), 183-196. | MR | Zbl
). -[Hla-Sch-Tas] Geometric and Analytic Number Theory, Springer-Verlag Berlin Heidelberg, 1991. | Zbl
), ) & ). -[Jak-Jar] Lectures on Holomorphic Functions of Several Complex Variables (to appear).
) & ). -[Jar-Pfl] Bergman completeness of complete circular domains, Ann. Pol. Math. 50 (1989), 219-222. | EuDML | Zbl
) & ). -[Kob] On complete Bergman metrics, Proc. Amer. Math. Soc. 13 (1962), 511-513. | MR | Zbl
). -[Ohs] A remark on the completeness of the Bergman metric, Proc. Jap. Acad. 57 (1981), 238-240. | MR | Zbl
). -[Pfl 1] Quadratintegrable holomorphe Funktionen und die Serre Vermutung, Math. Ann. 216 (1975), 285-288. | EuDML | MR | Zbl
). -[Pfl 2] About the Carathéodory completeness of all Reinhardt domains, In: Functional Analysis, Holomorphy and Approximation Theory II (1984), North-Holland, Amsterdam, 331-337, G. Zapata ed. | MR | Zbl
). -[Vla] Methods of the Theory of Several Complex Variables (russian), Moskau 1964. English translation. Cambridge, Mass.-London, 1966. | MR
). -[Zwo 1] On hyperbolicity of pseudoconvex Reinhardt domains, Arch. d. Math. 72 (1999), 304-314. | MR | Zbl
). -[Zwo 2] On Carathéodory completeness of pseudoconvex Reinhardt domains, Proc. Amer. Math. Soc., 128, No. 3 (2000), 857-864. | MR | Zbl
). -[Zwo 3] Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions, Diss. Math. (to appear). | MR | Zbl
). -