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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).
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참고문헌 (9)
참고문헌 신청
B. Fridman / 2003 / Upper semicontinuity of the dimensions of auto-morphism groups of domains in CN / Amer. J. Math 125 (2) : 289 ~ 299
L. Lempert / 1991 / An independence result in several complex variables / Proc. Amer. Math. Soc 113 (4) : 1055 ~ 1065
R. E. Greene / 1982 / The automorphism groups of strongly pseudoconvex domains / Math. Ann 261 (4) : 425 ~ 446
R. E. Greene / 1985 / Normal families and the semicontinuity of isometry and automorphism groups / Math. Z 190 (4) : 455 ~ 467
R. E. Greene / 2013 / Semicontinuity of automorphism groups of strongly pseudoconvex domains: the low differentiability case / Pacific J. Math 262 (2) : 365 ~ 395
L. Lempert / 1991 / An independence result in several complex variables / Proc. Amer. Math. Soc 113 (4) : 1055 ~ 1065
R. E. Greene / 1982 / The automorphism groups of strongly pseudoconvex domains / Math. Ann 261 (4) : 425 ~ 446
R. E. Greene / 1985 / Normal families and the semicontinuity of isometry and automorphism groups / Math. Z 190 (4) : 455 ~ 467
R. E. Greene / 2013 / Semicontinuity of automorphism groups of strongly pseudoconvex domains: the low differentiability case / Pacific J. Math 262 (2) : 365 ~ 395
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