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Large sets of zero analytic capacity
Author(s):
John
Garnett;
Stan
Yoshinobu
Journal:
Proc. Amer. Math. Soc.
129
(2001),
3543-3548.
MSC (2000):
Primary 30C20, 28A75
Posted:
June 13, 2001
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Abstract:
We prove that certain Cantor sets with non-sigma-finite one- dimensional Hausdorff measure have zero analytic capacity.
References:
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Additional Information:
John
Garnett
Affiliation:
Department of Mathematics, University of California at Los Angeles, Los Angeles, California 90095
Email:
jbg@math.ucla.edu
Stan
Yoshinobu
Affiliation:
Department of Mathematics, University of Arizona, Tucson, Arizona 85721
Email:
syoshino@math.arizona.edu
DOI:
10.1090/S0002-9939-01-06261-X
PII:
S 0002-9939(01)06261-X
Received by editor(s):
April 7, 2000
Posted:
June 13, 2001
Additional Notes:
The authors were supported in part by NSF Grant DMS-0070782.
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2001,
American Mathematical Society
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