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Pointwise Hardy inequalities and uniformly fat sets
Author(s):
Juha
Lehrbäck
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2193-2200.
MSC (2000):
Primary 46E35, 31C15;
Secondary 26D15, 42B25
Posted:
January 17, 2008
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Abstract:
We prove that it is equivalent for domain in  to admit the pointwise  -Hardy inequality, have uniformly  -fat complement, or satisfy a uniform inner boundary density condition.
References:
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Additional Information:
Juha
Lehrbäck
Affiliation:
Department of Mathematics and Statistics, P.O. Box 35 (MaD), FIN-40014 University of Jyväskylä, Finland
Email:
juhaleh@maths.jyu.fi
DOI:
10.1090/S0002-9939-08-09261-7
PII:
S 0002-9939(08)09261-7
Received by editor(s):
May 16, 2007
Posted:
January 17, 2008
Additional Notes:
The author was supported in part by the Academy of Finland.
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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