Memoirs of the American Mathematical Society 2005; 69 pp; softcover Volume: 176 ISBN10: 082183858X ISBN13: 9780821838587 List Price: US$59 Individual Members: US$35.40 Institutional Members: US$47.20 Order Code: MEMO/176/829
 Table of Contents  Introduction and notations
 Poincarétype inequalities
 Entropy and Orlicz spaces
 \(\mathbf{LS}_q\) and Hardytype inequalities on the line
 Probability measures satisfying \(\mathbf{LS}_q\)inequalities on the real line
 Exponential integrability and perturbation of measures
 \(\mathbf{LS}_q\)inequalities for Gibbs measures with super Gaussian tails
 \(\mathbf{LS}_q\)inequalities and Markov semigroups
 Isoperimetry
 The localization argument
 Infinitesimal version
 Proof of Theorem 9.2
 Euclidean distance (proof of Theorem 9.1)
 Uniformly convex bodies
 From isoperimetry to \(\mathbf{LS}_q\)inequalities
 Isoperimetric functional inequalities
 Bibliography
