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

DOI:
https://doi.org/10.1090/S0002-9939-01-06261-X

Published electronically:
June 13, 2001

MathSciNet review:
1860486

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-01-06261-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