Equation 16.17.12910B6450F3B7

\begin{equation} \begin{gathered} \mathcal L\bar{\mathcal L}G=P[Y]^2,\qquad \partial _{\bar s_ l}(\mathcal LG)=\bar w\, P\bigl (Y,\overline{\partial _{\rho _ l}a}\bigr ),\\ \partial _{s_ m}\partial _{\bar s_ l}G=r^2P\bigl (\partial _{\rho _ m}a,\overline{\partial _{\rho _ l}a}\bigr ). \end{gathered} \end{equation}