Timeline for Gauss transformation in fractional Sobolev space

8 events

when toggle format	what		by	license	comment
Feb 13 at 0:47	review	Suggested edits
Feb 13 at 9:13
Feb 12 at 14:50	history	edited	Muniain		edited body
Feb 12 at 14:49	history	edited	gmvh		Added tags
Feb 12 at 14:47	comment	added	Muniain		One can show, by Fourier transform that $$\int_{\mathbb R^{d}}\left\|(-\Delta)^{\frac{s}{2}} u\right\|^{2} \geq \int_{\mathbb R^{d}}\left\|(-\Delta)^{\frac{s}{2}} (u*g_{\mu})\right\|^{2}.$$ The inequality that I asked is an improvement but it might not be true. Then I hope there is an estimate between the two terms with an error depending on $\mu$.
Feb 12 at 14:45	history	edited	Muniain	CC BY-SA 4.0	edited body
Feb 12 at 14:41	comment	added	Christian Remling		Can I ask how you know that this is true? (Also, $\mathbb R^4$ in the second integral seems a typo.)
S Feb 12 at 14:28	review	First questions
Feb 12 at 14:49
S Feb 12 at 14:28	history	asked	Muniain	CC BY-SA 4.0