Tightness in Schauder decomposable Banach spaces

Niveau: Supérieur, Master, Bac+5
Tightness in Schauder decomposable Banach spaces? Ch. Suquet Laboratoire de Statistique et Probabilites, Bat. M2 Universite des Sciences et Technologies de Lille F-59655 Villeneuve d'Ascq Cedex France Abstract We characterize the tightness of a set of probability measures in a large class of Banach spaces including those having a Schauder basis. We give various applications to sequences of stochastic process viewed as random elements in the spaces Lp(0, 1), Lp(IR) or in some Holder or Besov spaces. AMS classifications: 60B10, 60F17, 60G30. Key words: empirical process, Haar basis, multiresolution analysis, Schauder decomposition, strong mixing, tightness, wavelets. ?Preprint

• ?zj ?


• projection


• sup p?f


• closed finite


• faber-schauder basis


• ?x? ejx?


• lim t?


• analysis background


• schauder decomposition