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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203303321 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |