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Jun 8, 2022 at 5:48 comment added Manuel Cañizares Thank you both. :)
Jun 6, 2022 at 13:00 comment added sharpend Just to add to Piero’s answer: The difficulty with “modulo polynomials” already holds for $s=n/2$, e.g., $\dot H^1(R^2)$. There, it is possible to approximate a constant function in $\| \cdot \|_{\dot H^1(R^2)}$ by compactly supported, smooth functions.
Jun 6, 2022 at 11:30 history answered Piero D'Ancona CC BY-SA 4.0