# Weighted Hardy spaces for elliptic operators

In this talk we consider weighted Hardy spaces defined using conical square functions, non-tangential maximal functions, and the Riesz transform associated with an elliptic operator in divergence form $L$. In the case of conical square functions and non-tangential maximal functions, for $0 < p \leq 1$, we give a molecular characterization of them, and for $p \in W_w(p_-(L),p_+(L))$, we show that they are isomorphic to the $L^p(w)$ spaces. Besides, we relate the weighted Hardy spaces defined via the Riesz transform with those defined via conical square functions.

This talk is part of the Analysis Seminar series.