On Bergman completeness of pseudoconvex Reinhardt domains

Włodzimierz Zwonek

Annales de la Faculté des sciences de Toulouse : Mathématiques (1999)

  • Volume: 8, Issue: 3, page 537-552
  • ISSN: 0240-2963

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Zwonek, Włodzimierz. "On Bergman completeness of pseudoconvex Reinhardt domains." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.3 (1999): 537-552. <http://eudml.org/doc/73498>.

@article{Zwonek1999,
author = {Zwonek, Włodzimierz},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Bergman complete; bounded pseudoconvex Reinhardt domain},
language = {eng},
number = {3},
pages = {537-552},
publisher = {UNIVERSITE PAUL SABATIER},
title = {On Bergman completeness of pseudoconvex Reinhardt domains},
url = {http://eudml.org/doc/73498},
volume = {8},
year = {1999},
}

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
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 3
SP - 537
EP - 552
LA - eng
KW - Bergman complete; bounded pseudoconvex Reinhardt domain
UR - http://eudml.org/doc/73498
ER -

References

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  2. [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. Zbl0067.30704MR74058
  3. [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. Zbl0955.32034
  4. [Chen] Chen ( B.-Y.). — Completeness of the Bergman metric on non-smooth pseudoconvex domains, Ann. Pol. Math., 71 (1999) 242-251. Zbl0937.32014MR1704301
  5. [Fu] Fu ( S.). — On completeness of invariant metrics of Reinhardt domains, Arch. Math.63 (1994), 166-172. Zbl0815.32001MR1289299
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  9. [Jak-Jar] Jakóbczak ( P.) & Jarnicki ( M.). — Lectures on Holomorphic Functions of Several Complex Variables (to appear). 
  10. [Jar-Pfl] Jarnicki ( M.) & Pflug ( P.). - Bergman completeness of complete circular domains, Ann. Pol. Math.50 (1989), 219-222. Zbl0701.32002
  11. [Kob] Kobayashi ( S.). — On complete Bergman metrics, Proc. Amer. Math. Soc.13 (1962), 511-513. Zbl0114.04001MR141795
  12. [Ohs] Ohsawa ( T.). — A remark on the completeness of the Bergman metric, Proc. Jap. Acad.57 (1981), 238-240. Zbl0508.32008MR618233
  13. [Pfl 1] Pflug ( P.). — Quadratintegrable holomorphe Funktionen und die Serre Vermutung, Math. Ann.216 (1975), 285-288. Zbl0294.32009MR382717
  14. [Pfl 2] Pflug ( P.). — About the Carathéodory completeness of all Reinhardt domains, In: Functional Analysis, Holomorphy and Approximation TheoryII (1984), North-Holland, Amsterdam, 331-337, G. Zapata ed. Zbl0536.32001MR771335
  15. [Vla] Vladimirov ( V.). - Methods of the Theory of Several Complex Variables (russian), Moskau1964. English translation. Cambridge, Mass.-London, 1966. MR171937
  16. [Zwo 1] Zwonek ( W.). — On hyperbolicity of pseudoconvex Reinhardt domains, Arch. d. Math.72 (1999), 304-314. Zbl0938.32003MR1678013
  17. [Zwo 2] Zwonek ( W.). — On Carathéodory completeness of pseudoconvex Reinhardt domains, Proc. Amer. Math. Soc., 128, No. 3 (2000), 857-864. Zbl0939.32025MR1646214
  18. [Zwo 3] Zwonek ( W.). - Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions, Diss. Math. (to appear). Zbl0965.32004MR1785672

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