It is known that $H^s(0,1)$ embeds into Hoelder continuous functions for $s>1/2$. I am not interested in Hoelder continuity, but merely in continuity: do I get the continuous embedding $H^{1/2}(0,1)\subseteq C([0,1])$?
It is known that $H^s(0,1)$ embeds into Hoelder continuous functions for $s>1/2$. I am not interested in Hoelder continuity, but merely in continuity: do I get the continuous embedding $H^{1/2}(0,1)\subseteq C([0,1])$?