Proper holomorphic mappings that must be rational

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Proper 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 کامل

The Bergman Kernel Function and Proper Holomorphic Mappings

It is proved that a proper holomorphic mapping / between bounded complete Reinhardt domains extends holomorphically past the boundary and that if, in addition, /~'(0) = {0}, then / is a polynomial mapping. The proof is accomplished via a transformation rule for the Bergman kernel function under proper holomorphic mappings.

متن کامل

A Note on Pseudoconvexity and Proper Holomorphic Mappings

In this paper we discuss some connections between proper holomorphic mappings between domains in Cn and the boundary behaviors of certain canonical invariant metrics. A compactness theorem has been proved. This generalizes slightly an earlier result proved by the second author. Introduction. A continuous mapping f:Xx —* X2 between two topological spaces is called proper if f~l(K) c X\ is compac...

متن کامل

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 کامل

Proper 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 کامل

ذخیره 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: Transactions of the American Mathematical Society

سال: 1984

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1984-0742433-5