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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Large sets of zero analytic capacity


Authors: John Garnett and Stan Yoshinobu
Journal: Proc. Amer. Math. Soc. 129 (2001), 3543-3548
MSC (2000): Primary 30C20, 28A75
Published electronically: June 13, 2001
MathSciNet review: 1860486
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Abstract:

We prove that certain Cantor sets with non-sigma-finite one- dimensional Hausdorff measure have zero analytic capacity.


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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: http://dx.doi.org/10.1090/S0002-9939-01-06261-X
PII: S 0002-9939(01)06261-X
Received by editor(s): April 7, 2000
Published electronically: June 13, 2001
Additional Notes: The authors were supported in part by NSF Grant DMS-0070782.
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2001 American Mathematical Society