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Capacity estimates

Author(s): David R. Adams; Ritva Hurri-Syrjänen
Journal: Proc. Amer. Math. Soc. 131 (2003), 1159-1167.
MSC (2000): Primary 46E35, 31B15
Posted: September 19, 2002
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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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D. R. Adams and R. Hurri-Syrjänen, Vanishing exponential integrability for functions whose gradients belong to ${L}^n(\log (e+ {L}))^{\alpha}$, To appear in J. Funct. Anal. (2001).

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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: 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
Posted: 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
Copyright of article: Copyright 2002, American Mathematical Society

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The following works have cited this article

David R. Adams and Ritva Hurri-Syrjanen, Vanishing exponential integrability for functions whose gradients belong to L^n(log(e+L))^a, Journal of Functional Analysis 197 (2003), 162-178. MR 1957679

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