Proper holomorphic self-mappings of Hartogs domains in ${\bf C}^2$.
نویسندگان
چکیده
منابع مشابه
Proper Holomorphic Mappings in the Special Class of Reinhardt Domains
A complete characterization of proper holomorphic mappings between domains from the class of all pseudoconvex Reinhardt domains in C with the logarithmic image equal to a strip or a half-plane is given. 1. Statement of results We adopt here the standard notations from complex analysis. Given γ = (γ1, γ2) ∈ R 2 and z = (z1, z2) ∈ C 2 for which it makes sense we put |z | = |z1| γ1 |z2| γ2 . The u...
متن کاملProper Holomorphic Mappings in Tetrablock
The theorem showing that there are no non-trivial proper holomorphic self-mappings in the tetrablock is proved. We obtain also some general extension results for proper holomorphic mappings and we prove that the Shilov boundary is invariant under proper holomorphic mappings between some classes of domains containing among others (m1, . . . , mn)-balanced domains. It is also shown that the tetra...
متن کاملHolomorphic Mappings of Domains in Operator Spaces
Our object is to give an overview of some basic results about holomorphic mappings of circular domains in various spaces of operators. We begin by considering C*-algebras and pass to J*-algebras and other spaces when this seems natural. Our first result is a simple extension of the maximum principle where the unitary operators play the role of the unit circle. We illustrate the power of this re...
متن کاملMetric Domains, Holomorphic Mappings and Nonlinear Semigroups
We study nonlinear semigroups of holomorphic mappings on certain domains in complex Banach spaces. We examine, in particular, their differentiability and their representations by exponential and other product formulas. In addition, we also construct holomorphic retractions onto the stationary point sets of such semigroups.
متن کاملProper Holomorphic Mappings of the Spectral Unit Ball
We prove an Alexander type theorem for the spectral unit ball Ωn showing that there are no non-trivial proper holomorphic mappings in Ωn, n ≥ 2. Let Mn denote the space of n× n complex matrices. In order to avoid some trivialities and ambiguities we assume in the whole paper that n ≥ 2. Let ρ(A) := max{|λ| : λ ∈ Spec(A)} be the spectral radius of A ∈ Mn. Denote also by Spec(A) := {λ ∈ C : det(A...
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: Michigan Mathematical Journal
سال: 1993
ISSN: 0026-2285
DOI: 10.1307/mmj/1029004748