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dc.contributor.advisor Polking, John C.
dc.creatorWu, Zhiqiang
dc.date.accessioned 2009-06-04T00:24:18Z
dc.date.available 2009-06-04T00:24:18Z
dc.date.issued 1988
dc.identifier.urihttps://hdl.handle.net/1911/13330
dc.description.abstract The subject of proper holomorphic mapping is currently a very active area of research. One of the most interesting questions is the following: if $\Omega\sb1$, $\Omega\sb2 \subseteq C\sp{n}$ are open sets with C$\sp{\infty}$ boundaries and if $F : \Omega\sb1 \to \Omega\sb2$ is a biholomorphic map, is it true that F extends to a C$\sp{\infty}$ function on ${\bar \Omega\sb1}$? In my thesis, the conclusion of S. Bell, D. Catlin, K. Diederid and J. E. Formnass (1981, 1982) had been improved. Under certain assumptions about the smoothness of the Bergman kernel Function on the boundary of domain, some new conclusions of proper holomorphic mapping smooth extension to the boundary are also obtained.
dc.format.extent 29 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMathematics
dc.title On proper holomorphic mappings: Smooth extension to the boundary
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts
dc.identifier.citation Wu, Zhiqiang. "On proper holomorphic mappings: Smooth extension to the boundary." (1988) Master’s Thesis, Rice University. https://hdl.handle.net/1911/13330.


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