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Let $H^p=H^p(B_d)$ denote the Hardy space in the open unit ball $B_d$ of$\mathbb{C}^d$, $d\ge 1$. We characterize the reverse Carleson measures for$H^p$, $1<p<\infty$, that is, we describe all finite positive Borel measures$\mu$, defined on the closed ball $\overline{B}_d$, such that \[ \|f \|_{H^p}\le c \|f\|_{L^p(\overline{B}_d,\mu)} \] for all $f\in H^p(B_d) \capC(\overline{B}_d)$ and a universal constant $c>0$. Given a non-innerholomorphic function $b: B_d \to B_1$, we obtain properties of the reverseCarleson measures for the de Branges-Rovnyak space $\mathcal{H}(b)$.

Reverse Carleson measures for Hardy spaces in the unit ball