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Criteria for biholomorphic convex mappings on the unit ball in Hilbert spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Liu, Ming-Sheng |
| Copyright Year | 2006 |
| Abstract | In this paper, we give a necessary and sufficient condition that a locally biholomorphic mapping f on the unit ball B in a complex Hilbert space X is a biholomorphic convex mapping, which improves some results of Hamada and Kohr and solves the problem which is posed by Graham and Kohr. From this, we derive some sufficient conditions for biholomorphic convex mapping. We also introduce a linear operator in purpose to construct some concrete examples of biholomorphic convex mappings on B in Hilbert spaces. Moreover, we give some examples of biholomorphic convex mappings on B in Hilbert spaces. |
| Starting Page | 495 |
| Ending Page | 511 |
| Page Count | 17 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jmaa.2005.06.100 |
| Volume Number | 322 |
| Alternate Webpage(s) | https://core.ac.uk/download/pdf/82580603.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jmaa.2005.06.100 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
