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http://dx.doi.org/10.4134/BKMS.2014.51.5.1339

A BOUNDED KOHN NIRENBERG DOMAIN  

Calamai, Simone (Dip. di Matematica e Informatica "U. Dini" Universita di Firenze)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.5, 2014 , pp. 1339-1345 More about this Journal
Abstract
Building on the famous domain of Kohn and Nirenberg we give an example of a domain which shares the important features of the Kohn Nirenberg domain, but which can also be shown to be ${\phi}$-bounded As an application, we remark that this example has compact automorphism group.
Keywords
Kohn Nirenberg domain; holomorphic boundedness;
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1 J. Byun and H. R. Cho, Explicit description for the automorphism group of the Kohn-Nirenberg domain, Math. Z. 263 (2009), no. 2, 295-305.   DOI
2 J. J. Kohn and L. A. Nirenberg, A pseudo-convex domain not admitting a holomorphic support function, Math. Ann. 201 (1973), 265-268.   DOI
3 M. Kolar, Convexifiability and supporting function in $\mathbb{C}^2$, Math. Res. Lett. 2 (1995), no. 4, 505-513.   DOI
4 M. Kolar, Generalized models and local invariants of Kohn-Nirenberg domains, Math. Z. 259 (2008), no. 2, 277-286.   DOI
5 R. Narasimhan, Several Complex Variables, University of Chicago press, Chicago 1971.
6 G. D. Sala, A. Saracco, A. Simioniuc, and G. Tomassini, Lectures on Complex Analysis and Analytic Geometry, Edizioni della Normale, 2006.
7 E. Bedford and S. Pinchuk, Domains in $\mathbb{C}^2$ with noncompact automorphism group, Indiana Univ. Math. J. 47 (1998), no. 1, 199-222.
8 J. Byun, On the automorphism group of the Kohn-Nirenberg domain, J. Math. Anal. Appl. 266 (2002), no. 2, 342-356.   DOI   ScienceOn
9 J. Byun, On the boundary accumulation points for the holomorphic automorphism groups, Michigan Math. J. 51 (2003), no. 2, 379-386.   DOI
10 J. E. Fornaess and B. Stensones, Lectures on Counterexamples in Several Complex Variables, Princeton University Press, 1987.