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A dominated ergodic theorem for some bilinear averages
Authors:F.J. Martí  n-Reyes
Affiliation:Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain
Abstract:
Let T be a positive invertible linear operator with positive inverse on some Lp(μ), 1?p<∞, where μ is a σ-finite measure. We study the convergence in the Lp(μ)-norm and the almost everywhere convergence of the bilinear operators
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Keywords:Multilinear ergodic averages   Multilinear weight theory   Ergodic dominated estimate   Convergence
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