New examples of effective formulas for holomorphically contractible functions

• Autorzy: Marek Jarnicki , Peter Pflug
• Języki publikacji: EN

Abstrakty

EN

Let $G ⊂ ℂ^n$ and $B ⊂ ℂ^m$ 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.

Kategorie tematyczne

• 32F45: Invariant metrics and pseudodistances

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 135
• Numer: 3
• Strony: 219-230

Daty

wydano

1999

Twórcy

autor

Marek Jarnicki

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

autor

Peter Pflug

• Carl von Ossietzky Universität Oldenburg, Fachbereich Mathematik, Postfach 2503, D-26111 Oldenburg, Germany

Bibliografia

• [Chi] E. M. Chirka, Complex Analytic Sets, Kluwer, 1989.
• [Cyg] E. Cygan, Factorization of polynomials, Bull. Polish Acad. Sci. Math. 40 (1992), 45-52.
• [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.
• [Edi-Zwo 2] A. Edigarian and W. Zwonek, Proper holomorphic mappings in some class of unbounded domains, Kodai Math. J., to appear.
• [For-Nar] J. E. Fornæss and R. Narasimhan, The Levi problem on complex spaces with singularities, Math. Ann. 248 (1980), 47-72.
• [Jar-Pfl] M. Jarnicki and P. Pflug, Invariant Distances and Metrics in Complex Analysis, de Gruyter Exp. Math. 9, Walter de Gruyter, 1993.
• [Lár-Sig] F. Lárusson and R. Sigurdsson, Plurisubharmonic functions and analytic discs on manifolds, preprint.
• [Lel] P. Lelong, Fonction de Green pluricomplexe et lemmes de Schwarz dans les espaces de Banach, J. Math. Pures Appl. 68 (1989), 319-347.
• [Pfl-Zwo] P. Pflug and W. Zwonek, Effective formulas for invariant functions-case of elementary Reinhardt domains, Ann. Polon. Math. 69 (1998), 175-196.