논문KCI 등재
THE LIMITING CASE OF SEMICONTINUITY OF AUTOMORPHISM GROUPS
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In this paper we study the semicontinuity of the automorphism groups of domains in multi-dimensional complex space. We give examples to show that known results are sharp (in terms of the required boundary smoothness).
Abstract
In this paper we study the semicontinuity of the automorphism groups of domains in multi-dimensional complex space. We give examples to show that known results are sharp (in terms of the required boundary smoothness).
참고문헌 (9)
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- R. E. Greene, "Stably-interior points and the semicontinuity of the auto-morphism group", Math. Z, 277(3-4), pp.909~916 (2014)
- R. E. Greene, "Semicontinuity of automorphism groups of strongly pseudoconvex domains: the low differentiability case", Pacific J. Math, 262(2), pp.365~395 (2013)
- R. E. Greene, "The automorphism groups of strongly pseudoconvex domains", Math. Ann, 261(4), pp.425~446 (1982)
- R. E. Greene, "Normal families and the semicontinuity of isometry and automorphism groups", Math. Z, 190(4), pp.455~467 (1985)
- S. G. Krantz, "Lipschitz spaces, smoothness of functions, and approximation theory", Exposition. Math, 3(3), pp.193~260 (1983)
- S. G. Krantz, "Function Theory of Several Complex Variables" (2001), American Mathematical Society
- S. G. Krantz, "Explorations in Harmonic Analysis" (2009), Birkh¨auser Publishing
- L. Lempert, "An independence result in several complex variables", Proc. Amer. Math. Soc, 113(4), pp.1055~1065 (1991)
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