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I don't know whether the Besov space $B^s_{p,q}$ with $1<p,q<\infty$ is reflexive or not? Can someone help me please?

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Hans Triebel: Theory of Function spaces (1983), page 179. The dual of $B_{p,q}^s$ is (as one expects naively) $B_{p',q'}^{-s}$ where $p'$, $q'$ are the conjugate exponents.

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    $\begingroup$ No: true only if $1\le p,q<+\infty.$ $\endgroup$
    – Bazin
    Commented Feb 21, 2014 at 10:50
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    $\begingroup$ Of course, but the OP asked for the case $1<p,q<\infty$. $\endgroup$
    – Jochen Wengenroth
    Commented Feb 21, 2014 at 11:31

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