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Sharp sobolev embeddings and related hardy inequalities: The critical case
Author(s) -
Edmunds David E.,
Triebel Hans
Publication year - 1999
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.1999.3212070105
Subject(s) - mathematics , sobolev space , invariant (physics) , hardy space , inequality , pure mathematics , sobolev inequality , besov space , interpolation space , mathematical analysis , mathematical physics , functional analysis , biochemistry , chemistry , gene
The paper deals with sharp embeddings of the Sobolev spaces H s p (IR n ) and the Besov spaces B s p,p (IR n ) into rearrangement—invariant spaces and related Hardy inequalities. Here 1 < p < ∞ and s = n/p.