Equation 11.44.875A33AC0E5F0

\begin{equation} \mathcal H_ a=\left\{ \eta \in L^{\ell '}(\mathrm{d}V): \eta \geq 0,\ \int _ Xa\eta \, \mathrm{d}V=A, \int _ Xb\eta \, \mathrm{d}V\leq N(b)\text{ for every }b\in L^\ell \right\} . \end{equation}