Weighted Hardy spaces associated with elliptic operators. Part II: Characterizations of $H^1_L (w)$
Weighted Hardy spaces associated with elliptic operators. Part II: Characterizations of $H^1_L (w)$
Given a Muckenhoupt weight $w$ and a second order divergence form elliptic operator $L$, we consider different versions of the weighted Hardy space $H^1_L(w)$ defined by conical square functions and non-tangential maximal functions associated with the heat and Poisson semigroups generated by $L$. We show that all of them are …