Kernel convergence and biholomorphic mappings in several complex variables
We deal with kernel convergence of domains in ℂn which are biholomorphically equivalent to the unit ball B. We also prove that there is an equivalence between the convergence on compact sets of biholomorphic mappings on B, which satisfy a growth theorem, and the kernel convergence. Moreover, we obt...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203303321 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849690875524808704 |
|---|---|
| author | Gabriela Kohr |
| author_facet | Gabriela Kohr |
| author_sort | Gabriela Kohr |
| collection | DOAJ |
| description | We deal with kernel convergence of domains in ℂn which
are biholomorphically equivalent to the unit ball B. We also
prove that there is an equivalence between the convergence
on compact sets of biholomorphic mappings on B, which satisfy a growth theorem, and the kernel convergence. Moreover, we obtain certain consequences of this equivalence in the study of
Loewner chains and of starlike and convex mappings on B. |
| format | Article |
| id | doaj-art-ea9bb2ae909647a4a12e26676972dab3 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ea9bb2ae909647a4a12e26676972dab32025-08-20T03:21:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003674229423910.1155/S0161171203303321Kernel convergence and biholomorphic mappings in several complex variablesGabriela Kohr0Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 1 M. Kogălniceanu Street, Cluj-Napoca 3400, RomaniaWe deal with kernel convergence of domains in ℂn which are biholomorphically equivalent to the unit ball B. We also prove that there is an equivalence between the convergence on compact sets of biholomorphic mappings on B, which satisfy a growth theorem, and the kernel convergence. Moreover, we obtain certain consequences of this equivalence in the study of Loewner chains and of starlike and convex mappings on B.http://dx.doi.org/10.1155/S0161171203303321 |
| spellingShingle | Gabriela Kohr Kernel convergence and biholomorphic mappings in several complex variables International Journal of Mathematics and Mathematical Sciences |
| title | Kernel convergence and biholomorphic mappings in several complex variables |
| title_full | Kernel convergence and biholomorphic mappings in several complex variables |
| title_fullStr | Kernel convergence and biholomorphic mappings in several complex variables |
| title_full_unstemmed | Kernel convergence and biholomorphic mappings in several complex variables |
| title_short | Kernel convergence and biholomorphic mappings in several complex variables |
| title_sort | kernel convergence and biholomorphic mappings in several complex variables |
| url | http://dx.doi.org/10.1155/S0161171203303321 |
| work_keys_str_mv | AT gabrielakohr kernelconvergenceandbiholomorphicmappingsinseveralcomplexvariables |