Proof of the Poincar\'e--Chernoff inequality and logarithmic Sobolev's inequality by the methods of stochastic calculus for Brownian motion
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 61 (2006) no. 3, pp. 571-573

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     author = {A. N. Shiryaev},
     title = {Proof of the {Poincar\'e--Chernoff} inequality and logarithmic {Sobolev's} inequality by the methods of stochastic calculus for {Brownian} motion},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {571--573},
     publisher = {mathdoc},
     volume = {61},
     number = {3},
     year = {2006},
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     url = {http://geodesic.mathdoc.fr/item/RM_2006_61_3_a11/}
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A. N. Shiryaev. Proof of the Poincar\'e--Chernoff inequality and logarithmic Sobolev's inequality by the methods of stochastic calculus for Brownian motion. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 61 (2006) no. 3, pp. 571-573. http://geodesic.mathdoc.fr/item/RM_2006_61_3_a11/