Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of   Markov semi-groups
  We study coercive inequalities in Orlicz spaces associated to the probability measures on finite and infinite dimensional spaces which tails decay slower than the Gaussian ones. We provide necessary and sufficient criteria for such inequalities to hold and discuss relations between various classes of inequalities. 
Cyril Roberto (LAMA), Boguslaw Zegarlinski