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arXiv · 2303.00464

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

Sri Sakti Swarup Anupindi·A. Michael Alphonse
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Abstract

In this paper, we study the maximal ergodic operator on $L^p_w(X, \mathcal{B}, \mu)$ spaces, $1 \leq p < \infty$, where $(X, \mathcal{B}, \mu)$ 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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Sri Sakti Swarup Anupindi, A. Michael Alphonse. 2023-03-01. Maximal Ergodic Theorem On Weighted $L^p_w(X)$ spaces. https://arxiv.org/abs/2303.00464

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