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FRACTIONAL SOBOLEV–POINCARÉ AND FRACTIONAL HARDY INEQUALITIES IN UNBOUNDED JOHN DOMAINS
Author(s) -
Hurri-Syrjänen Ritva,
Vähäkangas Antti V.
Publication year - 2015
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579314000230
Subject(s) - mathematics , sobolev space , poincaré conjecture , sobolev inequality , inequality , pure mathematics , poincaré inequality , fractional calculus , mathematical analysis
We prove fractional Sobolev–Poincaré inequalities in unbounded John domains and we characterize fractional Hardy inequalities there.