Weights for the ergodic maximal operator and a.e. convergence of the ergodic averages for functions in Lorentz spaces

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概要

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• In this paper, we deal with an invertible null-preserving transformation into itself of a finite measure space. We prove that the uniform boundedness of the ergodic averages in a reflexive Lorentz space implies a.e. convergence. In order to do this, we study the "good weights" for the maximal operator associated to an invertible measure preserving transformation.

• 東北大学の論文

著者

• Ortega Salvador

  Analisis Matematico Facultad De Ciencias Universidad De Malaga

関連論文

• Weights for the ergodic maximal operator and a.e. convergence of the ergodic averages for functions in Lorentz spaces

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