New examples of effective formulas for holomorphically contractible functions
Jarnicki, Marek ; Pflug, Peter
Studia Mathematica, Tome 133 (1999), p. 219-230 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216652
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     author = {Marek Jarnicki and Peter Pflug},
     title = {New examples of effective formulas for holomorphically contractible functions},
     journal = {Studia Mathematica},
     volume = {133},
     year = {1999},
     pages = {219-230},
     zbl = {0953.32012},
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Jarnicki, Marek; Pflug, Peter. New examples of effective formulas for holomorphically contractible functions. Studia Mathematica, Tome 133 (1999) pp. 219-230. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv135i3p219bwm/

[00000] [Chi] E. M. Chirka, Complex Analytic Sets, Kluwer, 1989. | Zbl 0683.32002

[00001] [Cyg] E. Cygan, Factorization of polynomials, Bull. Polish Acad. Sci. Math. 40 (1992), 45-52. | Zbl 0760.32004

[00002] [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.

[00003] [Edi-Zwo 2] A. Edigarian and W. Zwonek, Proper holomorphic mappings in some class of unbounded domains, Kodai Math. J., to appear.

[00004] [For-Nar] J. E. Fornæss and R. Narasimhan, The Levi problem on complex spaces with singularities, Math. Ann. 248 (1980), 47-72. | Zbl 0411.32011

[00005] [Jar-Pfl] M. Jarnicki and P. Pflug, Invariant Distances and Metrics in Complex Analysis, de Gruyter Exp. Math. 9, Walter de Gruyter, 1993.

[00006] [Lár-Sig] F. Lárusson and R. Sigurdsson, Plurisubharmonic functions and analytic discs on manifolds, preprint. | Zbl 0901.31004

[00007] [Lel] P. Lelong, Fonction de Green pluricomplexe et lemmes de Schwarz dans les espaces de Banach, J. Math. Pures Appl. 68 (1989), 319-347. | Zbl 0633.32019

[00008] [Pfl-Zwo] P. Pflug and W. Zwonek, Effective formulas for invariant functions-case of elementary Reinhardt domains, Ann. Polon. Math. 69 (1998), 175-196. | Zbl 0926.32015