Harmonic Currents of Finite Energy and Laminations, J. E. Fornaess and N. Sibony, GAFA, Geom, Funct, Anal, $2005$, $962-1003$.
Page $968$, Section Energy of harmonic currents
According to what is stated in the image attached below,
If $\overline{\partial}S \in L^2$, is $\partial\overline{S} \in L^2$ too?
