Maximal Ergodic Theorem On Weighted L^p_w(X) spaces

2023/03/01 by Sri Sakti Swarup Anupindi, Amal Alphonse, Anupindi, Sri Sakti Swarup +1
Economics, Econometrics and Finance · Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2303.00464

openalex publication_date 2023/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the maximal ergodic operator on L^p_w(X, B, μ) spaces, 1 ≤ p < ∞, where (X, B, μ) is a probability space equipped with an invertible measure preserving transformation U and w is an ergodic A_p weight using transference method.

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