Fractional Hardy-type inequalities in domains with uniformly fat complement
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- by David E. Edmunds, Ritva Hurri-Syrjänen and Antti V. Vähäkangas PDF
- Proc. Amer. Math. Soc. 142 (2014), 897-907 Request permission
Abstract:
We establish fractional Hardy-type inequalities in a bounded domain with uniformly fat complement. In particular, our results apply in bounded $C^{\infty }$ domains and Lipschitz domains.References
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Additional Information
- David E. Edmunds
- Affiliation: Department of Mathematics, Pevensey II Building, University of Sussex, Falmer, Brighton BN1 9QH, United Kingdom
- MR Author ID: 61855
- Email: davideedmunds@aol.com
- Ritva Hurri-Syrjänen
- Affiliation: Department of Mathematics and Statistics, University of Helsinki, Gustaf Häll strömin katu 2, FI-00014 University of Helsinki, Finland
- Email: ritva.hurri-syrjanen@helsinki.fi
- Antti V. Vähäkangas
- Affiliation: Department of Mathematics and Statistics, University of Helsinki, Gustaf Häll strömin katu 2, FI-00014 University of Helsinki, Finland
- Email: antti.vahakangas@helsinki.fi
- Received by editor(s): February 17, 2012
- Received by editor(s) in revised form: March 17, 2012, and April 2, 2012
- Published electronically: November 21, 2013
- Additional Notes: The third author was supported by the Academy of Finland, grants 75166001 and 1134757, and by the Finnish Academy of Science and Letters, Vilho, Yrjö and Kalle Väisälä Foundation
- Communicated by: Jeremy Tyson
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 897-907
- MSC (2010): Primary 46E35; Secondary 26D10
- DOI: https://doi.org/10.1090/S0002-9939-2013-11818-6
- MathSciNet review: 3148524