Tractable embeddings of Besov spaces into small Lebesgue spaces | Zendy

Domínguez Oscar | Zendy

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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.

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