A Note on the Boundedness of Doob Maximal Operators on a Filtered Measure Space

Wei Chen, Jingya Cui

Let $M$ be the Doob maximal operator on a filtered measure space and let $v$ be an $A_p$ weight with $1<p<+\infty$. We try proving that \begin{equation}\lVert M f\rVert _{L ^{p}(v)…