Large sets of zero analytic capacity
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- by John Garnett and Stan Yoshinobu PDF
- Proc. Amer. Math. Soc. 129 (2001), 3543-3548 Request permission
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
- 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
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3543-3548
- MSC (2000): Primary 30C20, 28A75
- DOI: https://doi.org/10.1090/S0002-9939-01-06261-X
- MathSciNet review: 1860486