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Nuclear embeddings in function spaces
Author(s) -
Triebel Hans
Publication year - 2017
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.201700049
Subject(s) - mathematics , bounded function , embedding , lipschitz continuity , pure mathematics , function space , besov space , lipschitz domain , function (biology) , mathematical analysis , interpolation space , functional analysis , computer science , artificial intelligence , biochemistry , chemistry , evolutionary biology , biology , gene
LetB p , q s ( Ω )be the usual Besov spaces in bounded Lipschitz domains Ω inR n , n ∈ N (bounded intervals if n = 1 ). The paper clarifies under which conditions the continuous embedding between two such spaces with 1 < p , q < ∞ is nuclear.