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Embedding of fractional Sobolev area into BMO retort

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Embedding of fractional Sobolev area into BMO

Is it correct that $$Vert u Vert_{BMO(mathbb R^2)} lesssim_{s} Vert u Vert_{dot H^s(mathbb R^2)},$$
for $s in (0,1)$, the place $dot H^s(mathbb R)$ is the homogeneous fractional Sobolev area?

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