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Embeddings of Besov spaces of logarithmic smoothness

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2014
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Polish Acad Sciencies Inst Mathematics
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This paper deals with Besov spaces of logarithmic smoothness B-p,T(0,b) formed by periodic functions. We study embeddings of B-p,T(0,b) into Lorentz-Zygmund spaces L-p,L-q(log L)(beta). Our techniques rely on the approximation structure of B-p,T(0,b), Nikol'skii type inequalities, extrapolation properties of L-p,L-q(log L)(beta) and interpolation.
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