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Shearing maps and a Runge map of the unit ball which does not embed into a Loewner chain with range Cn.
- Source :
- Studia Universitatis Babeş-Bolyai, Mathematica; Jun2022, Vol. 67 Issue 2, p251-258, 8p
- Publication Year :
- 2022
-
Abstract
- In this paper we study the class of "shearing" holomorphic maps of the unit ball of the form (z,w)→ (z + g(w),w). Besides general properties, we use such maps to construct an example of a normalized univalent map of the ball onto a Runge domain in C<superscript>n</superscript> which however cannot be embedded into a Loewner chain whose range is C<superscript>n</superscript>. [ABSTRACT FROM AUTHOR]
- Subjects :
- UNIT ball (Mathematics)
GEOMETRIC function theory
HOLOMORPHIC functions
MAPS
Subjects
Details
- Language :
- English
- ISSN :
- 02521938
- Volume :
- 67
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Studia Universitatis Babeş-Bolyai, Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 157403750
- Full Text :
- https://doi.org/10.24193/subbmath.2022.2.03