Pointwise convergence of averages along cubes II

2003/05/28 by Idris Assani, Assani, Idris
Computer Science · Mathematics · #37A30 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory #Dynamical Systems (math.DS) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.math/0305403

openalex publication_date 2003/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let (X,B,μ, T) be a measure preserving system. We prove the pointwise convergence of averages along cubes of 2^k-1 bounded and measurable functions for all k.

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