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Tractable embeddings of Besov spaces into small Lebesgue spaces
Author(s) -
Domínguez Oscar
Publication year - 2016
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.201500244
Subject(s) - mathematics , besov space , lp space , interpolation space , lebesgue integration , pure mathematics , interpolation (computer graphics) , extrapolation , standard probability space , lebesgue covering dimension , torus , hardy space , mathematical analysis , hausdorff dimension , banach space , functional analysis , geometry , computer science , biochemistry , chemistry , gene , animation , computer graphics (images)
This paper deals with dimension‐controllable (tractable) embeddings of Besov spaces on n ‐dimensional torus into small Lebesgue spaces. Our techniques rely on the approximation structure of Besov spaces, extrapolation properties of small Lebesgue spaces and interpolation.