Open AccessFractional Hardy-type inequalities in domains with uniformly fat complement
Author(s) -
D. E. Edmunds,
Ritva Hurri-Syrjänen,
Antti V. Vähäkangas
Publication year - 2013
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-2013-11818-6
Subject(s) - complement (music) , bounded function , type (biology) , domain (mathematical analysis) , annotation , mathematics , algorithm , semantics (computer science) , computer science , artificial intelligence , mathematical analysis , chemistry , biology , ecology , biochemistry , complementation , gene , phenotype , programming language
We establish fractional Hardy-type inequalities in a bounded domain with uniformly fat complement. In particular, our results apply in bounded C ∞ C^{\infty } domains and Lipschitz domains.