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May 23, 2011 at 0:06 comment added Michael Renardy $$\int f^2\,dy=\int f^2(1+|y|)^2(1+|y|)^{-2}\,dy$$ $$\le [\sup |f(y)|(1+|y|)]^2\int (1+|y|)^{-2}\,dy.$$
May 21, 2011 at 20:59 comment added jessica how did you get the first inequality?
May 19, 2011 at 13:59 history edited Michael Renardy CC BY-SA 3.0
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May 19, 2011 at 13:54 history edited Michael Renardy CC BY-SA 3.0
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May 19, 2011 at 13:47 history answered Michael Renardy CC BY-SA 3.0