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.
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     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},
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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://archive.numdam.org/item/AFST_1999_6_8_3_537_0/

[Bło-Pfl] Błocki (Z.) &Pflug (P.). - Hyperconvexity and Bergman completeness, Nagoya Math. J., 151 (1998), 221-225. | Zbl

[Bre] Bremermann (J.). - 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] Carlehed (M.), Cegrell (U.) & Wikström (F.). - Jensen Meauseres, Hyperconvexity and Boundary Behaviour of the Pluricomplex Green Function, Ann. Pol. Math., 71 (1999), 87-103. | Zbl

[Chen] Chen (B.-Y.). - Completeness of the Bergman metric on non-smooth pseudoconvex domains, Ann. Pol. Math., 71 (1999) 242-251. | MR | Zbl

[Fu] Fu (S.). - On completeness of invariant metrics of Reinhardt domains, Arch. Math. 63 (1994), 166-172. | MR | Zbl

[Har-Wri] Hardy (G.H.) & Wright (E.M.). - An Introduction to the Theory of Numbers, Oxford Science Publ., 1978.

[Her] Herbort (G.). - The Bergman metric on hyperconvex domains, Math. Z. 232 (1) (1999), 183-196. | MR | Zbl

[Hla-Sch-Tas] Hlawka (E.), Schoissengeier (J.) & Taschner (R.). - Geometric and Analytic Number Theory, Springer-Verlag Berlin Heidelberg, 1991. | Zbl

[Jak-Jar] Jakóbczak (P.) &Jarnicki (M.). - Lectures on Holomorphic Functions of Several Complex Variables (to appear).

[Jar-Pfl] Jarnicki (M.) &Pflug (P.). - Bergman completeness of complete circular domains, Ann. Pol. Math. 50 (1989), 219-222. | EuDML | Zbl

[Kob] Kobayashi (S.). - On complete Bergman metrics, Proc. Amer. Math. Soc. 13 (1962), 511-513. | MR | Zbl

[Ohs] Ohsawa (T.). - A remark on the completeness of the Bergman metric, Proc. Jap. Acad. 57 (1981), 238-240. | MR | Zbl

[Pfl 1] Pflug (P.). - Quadratintegrable holomorphe Funktionen und die Serre Vermutung, Math. Ann. 216 (1975), 285-288. | EuDML | MR | Zbl

[Pfl 2] Pflug (P.). - 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] Vladimirov (V.). - Methods of the Theory of Several Complex Variables (russian), Moskau 1964. English translation. Cambridge, Mass.-London, 1966. | MR

[Zwo 1] Zwonek (W.). - On hyperbolicity of pseudoconvex Reinhardt domains, Arch. d. Math. 72 (1999), 304-314. | MR | Zbl

[Zwo 2] Zwonek (W.). - On Carathéodory completeness of pseudoconvex Reinhardt domains, Proc. Amer. Math. Soc., 128, No. 3 (2000), 857-864. | MR | Zbl

[Zwo 3] Zwonek (W.). - Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions, Diss. Math. (to appear). | MR | Zbl