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Characterizations for fractional Hardy inequality

Characterizations for fractional Hardy inequality Abstract We provide a Maz'ya-type characterization for a fractional Hardy inequality. As an application, we show that a bounded open set G admits a fractional Hardy inequality if and only if the associated fractional capacity is quasiadditive with respect to Whitney cubes of G and the zero extension operator acting on C c ( G ) is bounded in an appropriate manner. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Calculus of Variations de Gruyter

Characterizations for fractional Hardy inequality

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References (12)

Publisher
de Gruyter
Copyright
Copyright © 2015 by the
ISSN
1864-8258
eISSN
1864-8266
DOI
10.1515/acv-2013-0019
Publisher site
See Article on Publisher Site

Abstract

Abstract We provide a Maz'ya-type characterization for a fractional Hardy inequality. As an application, we show that a bounded open set G admits a fractional Hardy inequality if and only if the associated fractional capacity is quasiadditive with respect to Whitney cubes of G and the zero extension operator acting on C c ( G ) is bounded in an appropriate manner.

Journal

Advances in Calculus of Variationsde Gruyter

Published: Apr 1, 2015

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