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Proof of the equivalence between Triebel Spaces and Bessel Potential

I've encountered a question regarding the relationship between Triebel-Lizorkin spaces and Bessel potential spaces. Specifically, I understand that $F^s_{p,2} = H^{s,p}$, for $p \in (1,\infty)$. Howev …
Kilian Koch's user avatar
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$H^{s,\infty}$ via Triebel Lizorkin spaces

I know that $F^s_{p,2} = H^{s,p}$ for $p \in (1, \infty)$, but what about $H^{s,1}$ and $H^{s,\infty}$? I know one extension for $F^0_{\infty,2}$ which should be BMO. But how do I get the $H^{s,\infty …
Kilian Koch's user avatar