If $2 \le q \le \infty$ and $2s >n$, then is there a continuous embedding $ H^s (\Bbb R^n ) \hookrightarrow L^q(\Bbb R^n) $ ? Here $H^s$ means a general Sobolev space for $s = 0,1,\cdots$.
A continuous embedding.
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functional-analysis
sobolev-spaces
lp-spaces
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0@DavideGiraudo Thank you very much. – 2012-12-01