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

 

Hardy's inequality and the boundary size


Authors: Pekka Koskela and Xiao Zhong
Journal: Proc. Amer. Math. Soc. 131 (2003), 1151-1158
MSC (2000): Primary 26D10, 31C99, 46E35
Published electronically: July 26, 2002
MathSciNet review: 1948106
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Abstract: We establish a self-improving property of the Hardy inequality and an estimate on the size of the boundary of a domain supporting a Hardy inequality.


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Additional Information

Pekka Koskela
Affiliation: Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, Fin-40351 Jyväskylä, Finland
Email: pkoskela@math.jyu.fi

Xiao Zhong
Affiliation: Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, Fin-40351 Jyväskylä, Finland
Email: zhong@math.jyu.fi

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06711-4
PII: S 0002-9939(02)06711-4
Received by editor(s): May 30, 2001
Received by editor(s) in revised form: November 5, 2001
Published electronically: July 26, 2002
Additional Notes: This research was partially supported by the Academy of Finland, projects 39788 and 41964, and the foundation Vilho, Yrjö ja Kalle Väisälän rahasto (X.Z.). Part of this research was done while the second author was visiting at the Mittag-Leffler Institute. He wishes to thank the Institute for their support and hospitality.
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2002 American Mathematical Society