Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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INVARIANT METRICS AND COMPLETENESS

  • Pflug, Peter (Carl von Ossientzky Universit t Oldenburg fachbereich Mathematik)
  • Published : 2000.03.01
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Abstract

We discuss completeness with respect to the Caratheodory distance, the Kobayashi distance and the Beraman distance, respectively.

Keywords

References

  1. Ann. Inst. Fourier, Grenoble v.46 The extension theorem of Ohsawa{Takegoshi and the theormof Donelly-Fefferman B. Berndtsson
  2. Nagoya Math. J. v.151 Hyperconvexity and Bergman completeness Z. B locki & P. Pflug
  3. Ann. Pol. Math. Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function M. Carlehed & U. Cegrell & F. Wikstrom
  4. Pol. Mat. v.71 Completeness of the Bergman metric in non-smooth pseudoconvex domains, Ann B. Y. Chen
  5. Complex Variables A remark on the Bergman completeness B. Y. Chen
  6. Arch Math. v.63 On completeness of invariant metrics of Reinhardt domains S. Fu
  7. Math. Zeitschrift v.232 The Bergman metric on hyperconvex domains, G. Herbort
  8. Proc. Amer. Math. Soc. v.112 A counterexample for Kobayashi completeness of balanced domains M. Jarnicki & P. Pflug
  9. Ann. Pol. Math. v.50 Bergman completeness of complete circular domains M. Jarnicki & P. Pflug
  10. Ann. Pol. Math. v.63 On balanced L²-domains of holomorphy, 6 M. Jarnicki & P. Pflug
  11. Walter de Gruyter, Invariant Distances and Metrics in Complex Analysis de GruyterExpositions in Mathematics 9 M. Jarnicki & P. Pflug
  12. C. R. a. Sc. Paris v.312 The Caratheodory distance does not define the topology the case of domain M. Jarnicki & P. Pflug & J. P. Vigue
  13. Hyperbolic Complex Spaces S. Kobayashi
  14. U.U.D.M. Report No 1977:7 Lp-approximation by analytic functions in an open region P. Lindberg
  15. Proc. Amer. Math. Soc. v.118 An example of a Caratheodory complete but not fnitely compact analytic space M. Jarnicki & P. Pflug & J. P. Vigue
  16. Universitatis Iagellonicae Acta Math On Bergman completeness of nonhyperconvex domains M. Jarnicki & P. Pflug& W. Zwonek
  17. Proc. Jap.Acad. Sci. v.57 A remark on the completeness of the Bergman metric T. Ohsawa
  18. Nagoya Math. J. v.129 On the Bergman kernel of hyperconvex domains, T. Ohsawa
  19. Math. Annalen v.216 Quadratintegrable holomorphe Funktionen und die Serre Vermutung P.Pflug
  20. Holomorphy and Approximation Theory II About the Caratheodory completeness of all Reinhardt domains, Functional Analysis, P.Pflug;G. I. Zapata(ed.)
  21. Arch. Math. v.72 On hyperbolicity of pseudoconvex Reinhardt domains, W. Zwonek
  22. Proc. Amer. Math. Soc. v.128 On the Carateodory completeness of pseudoconvex Reinhardt domains W. Zwonek
  23. Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions W. Zwonek
  24. Ann. Fac. Sciences Toulouse On Bergman completeness of pseudoconvex Reinhardt domains W. Zwonek