ArticleOriginal scientific text

Title

New examples of effective formulas for holomorphically contractible functions

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
  2. Carl von Ossietzky Universität Oldenburg, Fachbereich Mathematik, Postfach 2503, D-26111 Oldenburg, Germany

Abstract

Let Gn and Bm be domains and let Φ:G → B be a surjective holomorphic mapping. We characterize some cases in which invariant functions and pseudometrics on G can be effectively expressed in terms of the corresponding functions and pseudometrics on B.

Bibliography

  1. [Chi] E. M. Chirka, Complex Analytic Sets, Kluwer, 1989.
  2. [Cyg] E. Cygan, Factorization of polynomials, Bull. Polish Acad. Sci. Math. 40 (1992), 45-52.
  3. [Edi-Zwo 1] A. Edigarian and W. Zwonek, Invariance of the pluricomplex Green function under proper mappings with applications, Complex Variables 35 (1998), 367-380.
  4. [Edi-Zwo 2] A. Edigarian and W. Zwonek, Proper holomorphic mappings in some class of unbounded domains, Kodai Math. J., to appear.
  5. [For-Nar] J. E. Fornæss and R. Narasimhan, The Levi problem on complex spaces with singularities, Math. Ann. 248 (1980), 47-72.
  6. [Jar-Pfl] M. Jarnicki and P. Pflug, Invariant Distances and Metrics in Complex Analysis, de Gruyter Exp. Math. 9, Walter de Gruyter, 1993.
  7. [Lár-Sig] F. Lárusson and R. Sigurdsson, Plurisubharmonic functions and analytic discs on manifolds, preprint.
  8. [Lel] P. Lelong, Fonction de Green pluricomplexe et lemmes de Schwarz dans les espaces de Banach, J. Math. Pures Appl. 68 (1989), 319-347.
  9. [Pfl-Zwo] P. Pflug and W. Zwonek, Effective formulas for invariant functions-case of elementary Reinhardt domains, Ann. Polon. Math. 69 (1998), 175-196.
Pages:
219-230
Main language of publication
English
Published
1999
Exact and natural sciences