Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces (Q2492115)
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| Language | Label | Description | Also known as |
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| English | Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces |
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Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces (English)
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6 June 2006
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In [Stud. Math. 168, No.~3, 229--250 (2005; Zbl 1083.46017)], the authors have proved an embedding of a logarithmic Bessel potential space with order of smoothness \(\sigma\) less than one into a space of \(\lambda(\cdot)\)-Hölder-continuous functions. In this paper, the authors further prove that such an embedding is not compact and that it is sharp.
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generalized Lorentz-Zygmund space
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logarithmic Bessel potential space
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Hölder-continuous function
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embedding
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