%0 Journal Article %A A. N. Shiryaev %T Proof of the Poincar\'e--Chernoff inequality and logarithmic Sobolev's inequality by the methods of stochastic calculus for Brownian motion %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2006 %P 571-573 %V 61 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/RM_2006_61_3_a11/ %G en %F RM_2006_61_3_a11