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Positive length but zero analytic capacity
Author:
John Garnett
Journal:
Proc. Amer. Math. Soc. 26 (1970), 696-699
MSC:
Primary 30.41
MathSciNet review:
0276456
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References |
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Additional Information
- [1]
Arnaud
Denjoy, Sur la continuité des fonctions analytiques
singulières, Bull. Soc. Math. France 60
(1932), 27–105 (French). MR
1504984
- [2]
L.
D. Ivanov, On Denjoy’s conjecture, Uspehi Mat. Nauk
18 (1963), no. 4 (112), 147–149 (Russian). MR 0156995
(28 #236)
- [3]
A.
G. Vituškin, Example of a set of positive length but of zero
analytic capacity, Dokl. Akad. Nauk SSSR 127 (1959),
246–249 (Russian). MR 0118838
(22 #9607)
- [4]
Lawrence
Zalcmann, Analytic capacity and rational approximation,
Lecture Notes in Mathematics, No. 50, Springer-Verlag, Berlin, 1968. MR 0227434
(37 #3018)
- [1]
- A. Denjoy, Sur la continuité des fonctions analytiques singulièries, Bull. Soc. Math. France 60 (1932), 27-105. MR 1504984
- [2]
- L. D. Ivanov, On Denjoy's conjecture, Uspehi Mat. Nauk 18 (1963), no. 4 (112), 147-149. (Russian) MR 28 #236. MR 0156995 (28:236)
- [3]
- A. G. Vitushkin, Example of a set of positive length but of zero analytic capacity, Dokl. Akad. Nauk SSSR 127 (1959), 246-249. (Russian) MR 22 #9607. MR 0118838 (22:9607)
- [4]
- L. Zalcman, Analytic capacity and rational approximation, Lecture notes in Math., no. 50, Springer-Verlag, Berlin, 1968. MR 37 #3018. MR 0227434 (37:3018)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1970-0276456-5
PII:
S 0002-9939(1970)0276456-5
Article copyright:
© Copyright 1970 American Mathematical Society
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