Ergodic seminorms for commuting transformations and applications

• Autorzy: Bernard Host
• Języki publikacji: EN

Abstrakty

EN

Recently, T. Tao gave a finitary proof of a convergence theorem for multiple averages with several commuting transformations, and soon thereafter T. Austin gave an ergodic proof of the same result. Although we give here another proof of the same theorem, this is not the main goal of this paper. Our main concern is to provide tools for the case of several commuting transformations, similar to the tools successfully used in the case of a single transformation, with the idea that they may be used in the solution of other problems.

Kategorie tematyczne

• 37A30: Ergodic theorems, spectral theory, Markov operators
• 37A05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 195
• Numer: 1
• Strony: 31-49

Daty

wydano

2009

Twórcy

autor

Bernard Host

• Laboratoire d'Analyse et de Mathématiques Appliquées, UMR CNRS 8050, Université Paris-Est, 5 bd Descartes, 77454 Marne-la-Vallée Cedex 2, France

Identyfikatory

DOI

10.4064/sm195-1-3