Non-Compact and Sharp Embeddings of Logarithmic Bessel Potential Spaces into Hölder-Type Spaces | Zendy

David E. Edmunds | Zendy; Petr Gurka | Zendy; Bohumı́r Opic | Zendy

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Non-Compact and Sharp Embeddings of Logarithmic Bessel Potential Spaces into Hölder-Type Spaces

Author(s) -

David E. Edmunds,

Petr Gurka,

Bohumı́r Opic

Publication year - 2006

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1278

Subject(s) - logarithm , bessel function , mathematics , type (biology) , pure mathematics , mathematical analysis , interpolation space , functional analysis , geology , chemistry , paleontology , biochemistry , gene

In our recent paper [Compact and continuous embeddings of logarithmic Bessel potential spaces. Studia Math. 168 (2005), 229 – 250] we have proved an embedding of a logarithmic Bessel potential space with order of smoothness σ less than one into a space of λ(·)-Hölder-continuous functions. We show that such an embedding is not compact and that it is sharp.

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