Boundary continuity of complete proper holomorphic maps
نویسندگان
چکیده
منابع مشابه
Fixed Points of Commuting Holomorphic Maps without Boundary Regularity
We identify a class of domains of C in which any two commuting holomorphic self-maps have a common fixed point.
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 کاملTangencies between holomorphic maps and holomorphic laminations
We prove that the set of leaves of a holomorphic lamination of codimension one that are tangent to a germ of a holomorphic map is discrete. Let F be a holomorphic lamination of codimension one in an open set V in a complex Banach space B. In this paper, this means that V = W × C, where W is a neighborhood of the origin in some Banach space, and the leaves Lλ of the lamination are disjoint graph...
متن کاملOn Critical Points of Proper Holomorphic Maps on the Unit Disk
We prove that a proper holomorphic map on the unit disk in the complex plane is uniquely determined up to post-composition with a Möbius transformation by its critical points. Bull. London Math. Soc. 30 (1998) 62–66 Stony Brook IMS Preprint #1996/7 June 1996 This note will give a brief proof of the following known theorem: Theorem 1. Let c1, · · · , cd be given (not necessarily distinct) points...
متن کاملOn a Linearity Problem for Proper Holomorphic Maps between Balls in Complex Spaces of Different Dimensions
In an important development of several complex variables, Poincaré [26] discovered that any biholomorphic map between two open pieces of the unit sphere in C2 is the restriction of a certain automorphism of B2, the unit two-ball in C2. This phenomenon fails obviously in one complex variable and reveals a strong rigidity property of holomorphic mappings in several variables. Later, Tanaka, etc (...
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: Journal of Mathematical Analysis and Applications
سال: 2015
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2014.11.016