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

 

Capacity estimates


Authors: David R. Adams and Ritva Hurri-Syrjänen
Journal: Proc. Amer. Math. Soc. 131 (2003), 1159-1167
MSC (2000): Primary 46E35, 31B15
Published electronically: September 19, 2002
MathSciNet review: 1948107
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Abstract: The relationships between certain Sobolev-Orlicz capacities are worked out. This, in particular, determines their null sets.


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Additional Information

David R. Adams
Affiliation: Department of Mathematics, University of Kentucky, 715 Patterson Office Tower, Lexington, Kentucky 40506–0027
Email: dave@ms.uky.edu

Ritva Hurri-Syrjänen
Affiliation: Department of Mathematics, P.O. Box 4 (Yliopistonkatu 5), FIN-00014 University of Helsinki, Finland
Email: hurri@ms.uky.edu, ritva.hurri-syrjanen@helsinki.fi

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06622-4
PII: S 0002-9939(02)06622-4
Keywords: Capacities, Sobolev-Orlicz capacities
Received by editor(s): July 3, 2001
Received by editor(s) in revised form: November 5, 2001
Published electronically: September 19, 2002
Additional Notes: The research of the second author was supported by the Academy of Finland under Grant No. 760095, Grant No. 70063, and Grant No. 42880, by the Väisälä Foundation, and the Finnish Cultural Foundation.
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2002 American Mathematical Society