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FRACTIONAL SOBOLEV–POINCARÉ AND FRACTIONAL HARDY INEQUALITIES IN UNBOUNDED JOHN DOMAINS

Published online by Cambridge University Press:  20 October 2014

Ritva Hurri-Syrjänen
Affiliation:
Department of Mathematics and Statistics, Gustaf Hällströmin katu 2b, FI-00014 University of Helsinki, Finland email [email protected]
Antti V. Vähäkangas
Affiliation:
Department of Mathematics and Statistics, Gustaf Hällströmin katu 2b, FI-00014 University of Helsinki, Finland email [email protected]
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Abstract

We prove fractional Sobolev–Poincaré inequalities in unbounded John domains and we characterize fractional Hardy inequalities there.

Type
Research Article
Copyright
Copyright © University College London 2014 

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