Continuous Reinhardt domains from a Jordan viewpoint
نویسندگان
چکیده
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 کاملReinhardt Domains with a Cusp at the Origin
Let Ω be a bounded pseudoconvex Reinhardt domain in C with many strictly pseudoconvex points and logarithmic image ω. It was known that the maximal ideal in H∞(Ω) consisting of all functions vanishing at (p1, p2) ∈ Ω is generated by the coordinate functions z1 − p1, z2 − p2 (meaning that one can solve the Gleason problem for H∞(Ω)) if ω is bounded. We show that one can solve Gleason’s problem f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2008
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm185-2-6