dc.contributor.advisor Polking, John C. Wu, Zhiqiang 2009-06-04T00:24:18Z 2009-06-04T00:24:18Z 1988 https://hdl.handle.net/1911/13330 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. 29 p. application/pdf eng Mathematics On proper holomorphic mappings: Smooth extension to the boundary Thesis Text Mathematics Natural Sciences Rice University Masters Master of Arts 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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