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A bounded Kohn Nirenberg domain

Simone Calamai
대한수학회 (The Korean Mathematical Society)|2014.09|대한수학회보 (Bulletin of the KMS)|제51권 제5호|pp. 1339-1345

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참고문헌

키워드

Kohn Nirenberg domainholomorphic boundedness
주제분류수학

초록

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 ø-bounded. As an application, we remark that this example has compact automor- phism group.

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 ø-bounded. As an application, we remark that this example has compact automor- phism group.

참고문헌 (10)

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  2. J. Byun, "On the automorphism group of the Kohn-Nirenberg domain", J. Math. Anal. Appl, 266(2), pp.342~356 (2002)
  3. J. Byun, "On the boundary accumulation points for the holomorphic automorphism groups", Michigan Math. J, 51(2), pp.379~386 (2003)
  4. J. Byun, "Explicit description for the automorphism group of the Kohn-Nirenberg domain", Math. Z, 263(2), pp.295~305 (2009)
  5. J. E. Fornaess, "Lectures on Counterexamples in Several Complex Variables" (1987), Princeton University Press
  6. J. J. Kohn, "A pseudo-convex domain not admitting a holomorphic support function", Math. Ann, 201, pp.265~268 (1973)
  7. M. Kolar, "Convexifiability and supporting function in C2", Math. Res. Lett, 2(4), pp.505~513 (1995)
  8. M. Kolar, "Generalized models and local invariants of Kohn-Nirenberg domains", Math. Z, 259(2), pp.277~286 (2008)
  9. R. Narasimhan, "Several Complex Variables" (1971), University of Chicago press
  10. G. D. Sala, "Lectures on Complex Analysis and Analytic Geometry" (2006), Edizioni della Normale

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