arXiv subjects

A. Michael Alphonse

Publications and source records attributed to A. Michael Alphonse.

2 recordsLinked to original sources

arXiv2023

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

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

math.FA↗

arXiv2022

The boundedness of Fractional Hardy-Littlewood maximal operator on variable lp(Z) spaces using Calderon-Zygmund decomposition

In this paper, we prove strong type, weak type inequalities of Hardy-Littlewood maximal operator and fractional Hardy-Littlewood maximal operator on variable sequence spaces lp(Z). This is achieved using Calderon-Zygmund decomposition for sequences, properties of modular functional and Log Holder continuity.

math.FA↗