An inequality for relative entropy and logarithmic Sobolev inequalities in Euclidean spaces

Katalin Marton

Let $q(x)$ and $p(x)$ denote density functions on the $n$-dimensional Euclidean space, and let $p_i(\cdot |y_1,...,y_{i-1},y_{i+1},...,y_n)$ and $Q_i(\cdot|x_1,..., x_{i-1},x_{i+1…