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Pointwise Hardy inequalities and uniformly fat sets

Author: Juha Lehrbäck
Journal: Proc. Amer. Math. Soc. 136 (2008), 2193-2200
MSC (2000): Primary 46E35, 31C15; Secondary 26D15, 42B25
Published electronically: January 17, 2008
MathSciNet review: 2383525
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Abstract: We prove that it is equivalent for domain in $ \mathbb{R}^n$ to admit the pointwise $ p$-Hardy inequality, have uniformly $ p$-fat complement, or satisfy a uniform inner boundary density condition.

References [Enhancements On Off] (What's this?)

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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

Received by editor(s): May 16, 2007
Published electronically: January 17, 2008
Additional Notes: The author was supported in part by the Academy of Finland.
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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