منابع مشابه
Symmetric continuous Reinhardt domains
whenever |ζ1|, . . . , |ζn| ≤ 1 . In 1974 [11] Sunada investigated the structure of bounded Reinhardt domains containing the origin from the viewpoint of biholomorphic equivalence. He was able to describe completely the symmetric Reihardt domains which, up to linear isomomorphism, turned to be direct products of Euclidean balls. Our aim in this paper is to study infinite dimensional analogs of ...
متن کاملBounde Reinhardt domains in Banach spaces
© Foundation Compositio Mathematica, 1986, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier ...
متن کاملFinite Type Conditions on Reinhardt Domains
In this paper we prove that, if p is a boundary point of a smoothly bounded pseudoconvex Reinhardt domain in Cn, then the variety type at p is identical to the regular type. In this paper we study the finite type conditions on pseudoconvex Reinhardt domain. We prove that, if p is a boundary point of a smoothly bounded pseudoconvex Reinhardt domain in C, then the variety type at p is identical t...
متن کاملReinhardt Domains with Non-compact Automorphism Groups
We give an explicit description of smoothly bounded Reinhardt domains with noncompact automorphism groups. In particular, this description confirms a special case of a conjecture of Greene/Krantz. 0. Introduction Let D be a bounded domain in C, n ≥ 2. Denote by Aut(D) the group of holomorphic automorphisms of D. The group Aut(D) with the topology of uniform convergence on compact subsets of D i...
متن کاملProper Holomorphic Mapppings between Reinhardt Domains in C
We describe all possibilities of existence of non-elementary proper holomorphic maps between non-hyperbolic Reinhardt domains in C and the corresponding pairs of domains.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1977
ISSN: 0022-247X
DOI: 10.1016/0022-247x(77)90174-3