%0 Journal Article
%T Specification of Fractional Poincare¡¯ Inequalities for the Sequence Measures Generalization
%J -
%D 2017
%X The Fractional Poincare¡¯ inequalities in R n are endowed with a fairly general sequence measure. We show a control of L 2 norm by a non¨CLocal quantity. The assumption on the sequence measure is that it satisfies the classical Poincare¡¯ inequality, with general results. We also verify quantity of the tightness at infinity provided by the control on the fractional derivative in terms of a sequence of a weight growing at infinity. The illustration goes to the generator of the Ornstein-Uhlenbeck semi group and some estimates of its powers.
%K Poincare Inequalities
%K Non-Local Inequalities
%K Fractional Powers
%K Sequence Measure
%U http://www.sciencepublishinggroup.com/journal/paperinfo?journalid=148&doi=10.11648/j.ajam.20170503.11