Boundedness of Lusin-area and $g_{\lambda }^{\ast }$ Functions on Localized BMO Spaces over Doubling Metric Measure Spaces

Haibo Lin, Eiichi Nakai, Dachun Yang

Let $\mathcal{X}$ be a doubling metric measure space. If $\mathcal{X}$ has the $\delta$-annular decay property for some $\delta \in (0,1]$, the authors then establish the boundedness of t…