Fractional Hardy-type inequalities in domains with uniformly fat complement

Edmunds, David; Hurri-Syrjänen, Ritva; Vähäkangas, Antti

doi:10.1090/S0002-9939-2013-11818-6

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.

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