English

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

Functional Analysis 2023-03-03 v2

Abstract

In this paper, we study the maximal ergodic operator on Lwp(X,B,μ)L^p_w(X, \mathcal{B}, \mu) spaces, 1p<1 \leq p < \infty, where (X,B,μ)(X, \mathcal{B}, \mu) is a probability space equipped with an invertible measure preserving transformation UU and ww is an ergodic ApA_p weight using transference method.

Keywords

Cite

@article{arxiv.2303.00464,
  title  = {Maximal Ergodic Theorem On Weighted $L^p_w(X)$ spaces},
  author = {Sri Sakti Swarup Anupindi and A. Michael Alphonse},
  journal= {arXiv preprint arXiv:2303.00464},
  year   = {2023}
}
R2 v1 2026-06-28T08:53:56.895Z