Gaussian log-Sobolev inequality for compactly supported $C^1$ functions: $\mathrm{Ent}_\gamma(g^2)\le 2\int (g')^2\,d\gamma$

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Gaussian log-Sobolev inequality for compactly supported $C^1$ functions: $\mathrm{Ent}_\gamma(g^2)\le 2\int (g')^2\,d\gamma$ · Prove2Me